Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(257,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.257");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.g (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 257.20 | ||
Character | \(\chi\) | \(=\) | 430.257 |
Dual form | 430.2.g.b.343.20 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | − | 0.707107i | 0.500000 | − | 0.500000i | ||||
\(3\) | 2.27071 | + | 2.27071i | 1.31099 | + | 1.31099i | 0.920683 | + | 0.390312i | \(0.127633\pi\) |
0.390312 | + | 0.920683i | \(0.372367\pi\) | |||||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | 1.31680 | − | 1.80721i | 0.588893 | − | 0.808211i | ||||
\(6\) | 3.21127 | 1.31099 | ||||||||
\(7\) | 0.136059 | − | 0.136059i | 0.0514254 | − | 0.0514254i | −0.680926 | − | 0.732352i | \(-0.738423\pi\) |
0.732352 | + | 0.680926i | \(0.238423\pi\) | |||||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | 7.31224i | 2.43741i | ||||||||
\(10\) | −0.346772 | − | 2.20902i | −0.109659 | − | 0.698552i | ||||
\(11\) | −0.331801 | −0.100042 | −0.0500209 | − | 0.998748i | \(-0.515929\pi\) | ||||
−0.0500209 | + | 0.998748i | \(0.515929\pi\) | |||||||
\(12\) | 2.27071 | − | 2.27071i | 0.655497 | − | 0.655497i | ||||
\(13\) | −0.227765 | + | 0.227765i | −0.0631705 | + | 0.0631705i | −0.737986 | − | 0.674816i | \(-0.764223\pi\) |
0.674816 | + | 0.737986i | \(0.264223\pi\) | |||||||
\(14\) | − | 0.192416i | − | 0.0514254i | ||||||
\(15\) | 7.09374 | − | 1.11358i | 1.83160 | − | 0.287525i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −2.17935 | − | 2.17935i | −0.528570 | − | 0.528570i | 0.391576 | − | 0.920146i | \(-0.371930\pi\) |
−0.920146 | + | 0.391576i | \(0.871930\pi\) | |||||||
\(18\) | 5.17053 | + | 5.17053i | 1.21871 | + | 1.21871i | ||||
\(19\) | −6.24824 | −1.43345 | −0.716723 | − | 0.697358i | \(-0.754359\pi\) | ||||
−0.716723 | + | 0.697358i | \(0.754359\pi\) | |||||||
\(20\) | −1.80721 | − | 1.31680i | −0.404105 | − | 0.294447i | ||||
\(21\) | 0.617899 | 0.134837 | ||||||||
\(22\) | −0.234619 | + | 0.234619i | −0.0500209 | + | 0.0500209i | ||||
\(23\) | 1.18798 | − | 1.18798i | 0.247712 | − | 0.247712i | −0.572319 | − | 0.820031i | \(-0.693956\pi\) |
0.820031 | + | 0.572319i | \(0.193956\pi\) | |||||||
\(24\) | − | 3.21127i | − | 0.655497i | ||||||
\(25\) | −1.53205 | − | 4.75950i | −0.306410 | − | 0.951900i | ||||
\(26\) | 0.322108i | 0.0631705i | ||||||||
\(27\) | −9.79184 | + | 9.79184i | −1.88444 | + | 1.88444i | ||||
\(28\) | −0.136059 | − | 0.136059i | −0.0257127 | − | 0.0257127i | ||||
\(29\) | −0.0611545 | −0.0113561 | −0.00567805 | − | 0.999984i | \(-0.501807\pi\) | ||||
−0.00567805 | + | 0.999984i | \(0.501807\pi\) | |||||||
\(30\) | 4.22861 | − | 5.80345i | 0.772036 | − | 1.05956i | ||||
\(31\) | 5.84403 | 1.04962 | 0.524809 | − | 0.851220i | \(-0.324137\pi\) | ||||
0.524809 | + | 0.851220i | \(0.324137\pi\) | |||||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | −0.753423 | − | 0.753423i | −0.131154 | − | 0.131154i | ||||
\(34\) | −3.08206 | −0.528570 | ||||||||
\(35\) | −0.0667245 | − | 0.425050i | −0.0112785 | − | 0.0718466i | ||||
\(36\) | 7.31224 | 1.21871 | ||||||||
\(37\) | −6.41444 | + | 6.41444i | −1.05453 | + | 1.05453i | −0.0561032 | + | 0.998425i | \(0.517868\pi\) |
−0.998425 | + | 0.0561032i | \(0.982132\pi\) | |||||||
\(38\) | −4.41818 | + | 4.41818i | −0.716723 | + | 0.716723i | ||||
\(39\) | −1.03437 | −0.165632 | ||||||||
\(40\) | −2.20902 | + | 0.346772i | −0.349276 | + | 0.0548295i | ||||
\(41\) | 3.48498 | 0.544263 | 0.272132 | − | 0.962260i | \(-0.412271\pi\) | ||||
0.272132 | + | 0.962260i | \(0.412271\pi\) | |||||||
\(42\) | 0.436921 | − | 0.436921i | 0.0674184 | − | 0.0674184i | ||||
\(43\) | 4.05920 | − | 5.15004i | 0.619022 | − | 0.785373i | ||||
\(44\) | 0.331801i | 0.0500209i | ||||||||
\(45\) | 13.2148 | + | 9.62879i | 1.96994 | + | 1.43538i | ||||
\(46\) | − | 1.68006i | − | 0.247712i | ||||||
\(47\) | 5.80806 | + | 5.80806i | 0.847193 | + | 0.847193i | 0.989782 | − | 0.142589i | \(-0.0455428\pi\) |
−0.142589 | + | 0.989782i | \(0.545543\pi\) | |||||||
\(48\) | −2.27071 | − | 2.27071i | −0.327749 | − | 0.327749i | ||||
\(49\) | 6.96298i | 0.994711i | ||||||||
\(50\) | −4.44880 | − | 2.28215i | −0.629155 | − | 0.322745i | ||||
\(51\) | − | 9.89733i | − | 1.38590i | ||||||
\(52\) | 0.227765 | + | 0.227765i | 0.0315853 | + | 0.0315853i | ||||
\(53\) | −9.01382 | + | 9.01382i | −1.23814 | + | 1.23814i | −0.277384 | + | 0.960759i | \(0.589467\pi\) |
−0.960759 | + | 0.277384i | \(0.910533\pi\) | |||||||
\(54\) | 13.8478i | 1.88444i | ||||||||
\(55\) | −0.436917 | + | 0.599636i | −0.0589139 | + | 0.0808548i | ||||
\(56\) | −0.192416 | −0.0257127 | ||||||||
\(57\) | −14.1879 | − | 14.1879i | −1.87924 | − | 1.87924i | ||||
\(58\) | −0.0432427 | + | 0.0432427i | −0.00567805 | + | 0.00567805i | ||||
\(59\) | − | 5.56431i | − | 0.724412i | −0.932098 | − | 0.362206i | \(-0.882024\pi\) | ||
0.932098 | − | 0.362206i | \(-0.117976\pi\) | |||||||
\(60\) | −1.11358 | − | 7.09374i | −0.143762 | − | 0.915798i | ||||
\(61\) | 1.13949i | 0.145896i | 0.997336 | + | 0.0729481i | \(0.0232408\pi\) | ||||
−0.997336 | + | 0.0729481i | \(0.976759\pi\) | |||||||
\(62\) | 4.13235 | − | 4.13235i | 0.524809 | − | 0.524809i | ||||
\(63\) | 0.994894 | + | 0.994894i | 0.125345 | + | 0.125345i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 0.111698 | + | 0.711541i | 0.0138544 | + | 0.0882558i | ||||
\(66\) | −1.06550 | −0.131154 | ||||||||
\(67\) | −8.76665 | − | 8.76665i | −1.07102 | − | 1.07102i | −0.997278 | − | 0.0737398i | \(-0.976507\pi\) |
−0.0737398 | − | 0.997278i | \(-0.523493\pi\) | |||||||
\(68\) | −2.17935 | + | 2.17935i | −0.264285 | + | 0.264285i | ||||
\(69\) | 5.39513 | 0.649498 | ||||||||
\(70\) | −0.347737 | − | 0.253374i | −0.0415625 | − | 0.0302840i | ||||
\(71\) | − | 12.3226i | − | 1.46243i | −0.682148 | − | 0.731214i | \(-0.738954\pi\) | ||
0.682148 | − | 0.731214i | \(-0.261046\pi\) | |||||||
\(72\) | 5.17053 | − | 5.17053i | 0.609353 | − | 0.609353i | ||||
\(73\) | −8.28023 | − | 8.28023i | −0.969128 | − | 0.969128i | 0.0304097 | − | 0.999538i | \(-0.490319\pi\) |
−0.999538 | + | 0.0304097i | \(0.990319\pi\) | |||||||
\(74\) | 9.07139i | 1.05453i | ||||||||
\(75\) | 7.32860 | − | 14.2863i | 0.846233 | − | 1.64964i | ||||
\(76\) | 6.24824i | 0.716723i | ||||||||
\(77\) | −0.0451444 | + | 0.0451444i | −0.00514468 | + | 0.00514468i | ||||
\(78\) | −0.731413 | + | 0.731413i | −0.0828162 | + | 0.0828162i | ||||
\(79\) | − | 4.93159i | − | 0.554847i | −0.960748 | − | 0.277424i | \(-0.910519\pi\) | ||
0.960748 | − | 0.277424i | \(-0.0894805\pi\) | |||||||
\(80\) | −1.31680 | + | 1.80721i | −0.147223 | + | 0.202053i | ||||
\(81\) | −22.5321 | −2.50357 | ||||||||
\(82\) | 2.46426 | − | 2.46426i | 0.272132 | − | 0.272132i | ||||
\(83\) | 7.28759 | − | 7.28759i | 0.799917 | − | 0.799917i | −0.183165 | − | 0.983082i | \(-0.558634\pi\) |
0.983082 | + | 0.183165i | \(0.0586344\pi\) | |||||||
\(84\) | − | 0.617899i | − | 0.0674184i | ||||||
\(85\) | −6.80833 | + | 1.06877i | −0.738467 | + | 0.115925i | ||||
\(86\) | −0.771338 | − | 6.51192i | −0.0831756 | − | 0.702198i | ||||
\(87\) | −0.138864 | − | 0.138864i | −0.0148878 | − | 0.0148878i | ||||
\(88\) | 0.234619 | + | 0.234619i | 0.0250104 | + | 0.0250104i | ||||
\(89\) | −10.6751 | −1.13155 | −0.565777 | − | 0.824558i | \(-0.691424\pi\) | ||||
−0.565777 | + | 0.824558i | \(0.691424\pi\) | |||||||
\(90\) | 16.1528 | − | 2.53568i | 1.70266 | − | 0.267284i | ||||
\(91\) | 0.0619787i | 0.00649713i | ||||||||
\(92\) | −1.18798 | − | 1.18798i | −0.123856 | − | 0.123856i | ||||
\(93\) | 13.2701 | + | 13.2701i | 1.37604 | + | 1.37604i | ||||
\(94\) | 8.21384 | 0.847193 | ||||||||
\(95\) | −8.22772 | + | 11.2919i | −0.844146 | + | 1.15853i | ||||
\(96\) | −3.21127 | −0.327749 | ||||||||
\(97\) | 10.1638 | + | 10.1638i | 1.03198 | + | 1.03198i | 0.999471 | + | 0.0325073i | \(0.0103492\pi\) |
0.0325073 | + | 0.999471i | \(0.489651\pi\) | |||||||
\(98\) | 4.92357 | + | 4.92357i | 0.497355 | + | 0.497355i | ||||
\(99\) | − | 2.42621i | − | 0.243843i | ||||||
\(100\) | −4.75950 | + | 1.53205i | −0.475950 | + | 0.153205i | ||||
\(101\) | 10.8831 | 1.08290 | 0.541452 | − | 0.840732i | \(-0.317875\pi\) | ||||
0.541452 | + | 0.840732i | \(0.317875\pi\) | |||||||
\(102\) | −6.99847 | − | 6.99847i | −0.692952 | − | 0.692952i | ||||
\(103\) | −3.28398 | + | 3.28398i | −0.323580 | + | 0.323580i | −0.850139 | − | 0.526558i | \(-0.823482\pi\) |
0.526558 | + | 0.850139i | \(0.323482\pi\) | |||||||
\(104\) | 0.322108 | 0.0315853 | ||||||||
\(105\) | 0.813653 | − | 1.11668i | 0.0794044 | − | 0.108977i | ||||
\(106\) | 12.7475i | 1.23814i | ||||||||
\(107\) | 10.7097 | + | 10.7097i | 1.03535 | + | 1.03535i | 0.999352 | + | 0.0359938i | \(0.0114597\pi\) |
0.0359938 | + | 0.999352i | \(0.488540\pi\) | |||||||
\(108\) | 9.79184 | + | 9.79184i | 0.942220 | + | 0.942220i | ||||
\(109\) | − | 11.9479i | − | 1.14440i | −0.820113 | − | 0.572202i | \(-0.806089\pi\) | ||
0.820113 | − | 0.572202i | \(-0.193911\pi\) | |||||||
\(110\) | 0.115059 | + | 0.732954i | 0.0109705 | + | 0.0698844i | ||||
\(111\) | −29.1307 | −2.76496 | ||||||||
\(112\) | −0.136059 | + | 0.136059i | −0.0128563 | + | 0.0128563i | ||||
\(113\) | 3.59329 | + | 3.59329i | 0.338028 | + | 0.338028i | 0.855625 | − | 0.517597i | \(-0.173173\pi\) |
−0.517597 | + | 0.855625i | \(0.673173\pi\) | |||||||
\(114\) | −20.0648 | −1.87924 | ||||||||
\(115\) | −0.582599 | − | 3.71129i | −0.0543276 | − | 0.346079i | ||||
\(116\) | 0.0611545i | 0.00567805i | ||||||||
\(117\) | −1.66547 | − | 1.66547i | −0.153973 | − | 0.153973i | ||||
\(118\) | −3.93456 | − | 3.93456i | −0.362206 | − | 0.362206i | ||||
\(119\) | −0.593039 | −0.0543638 | ||||||||
\(120\) | −5.80345 | − | 4.22861i | −0.529780 | − | 0.386018i | ||||
\(121\) | −10.8899 | −0.989992 | ||||||||
\(122\) | 0.805738 | + | 0.805738i | 0.0729481 | + | 0.0729481i | ||||
\(123\) | 7.91339 | + | 7.91339i | 0.713526 | + | 0.713526i | ||||
\(124\) | − | 5.84403i | − | 0.524809i | ||||||
\(125\) | −10.6188 | − | 3.49859i | −0.949778 | − | 0.312923i | ||||
\(126\) | 1.40699 | 0.125345 | ||||||||
\(127\) | 8.42719 | + | 8.42719i | 0.747792 | + | 0.747792i | 0.974064 | − | 0.226272i | \(-0.0726537\pi\) |
−0.226272 | + | 0.974064i | \(0.572654\pi\) | |||||||
\(128\) | 0.707107 | + | 0.707107i | 0.0625000 | + | 0.0625000i | ||||
\(129\) | 20.9115 | − | 2.47697i | 1.84115 | − | 0.218085i | ||||
\(130\) | 0.582118 | + | 0.424153i | 0.0510551 | + | 0.0372007i | ||||
\(131\) | 15.8182i | 1.38204i | 0.722834 | + | 0.691022i | \(0.242839\pi\) | ||||
−0.722834 | + | 0.691022i | \(0.757161\pi\) | |||||||
\(132\) | −0.753423 | + | 0.753423i | −0.0655771 | + | 0.0655771i | ||||
\(133\) | −0.850128 | + | 0.850128i | −0.0737155 | + | 0.0737155i | ||||
\(134\) | −12.3979 | −1.07102 | ||||||||
\(135\) | 4.80201 | + | 30.5899i | 0.413291 | + | 2.63276i | ||||
\(136\) | 3.08206i | 0.264285i | ||||||||
\(137\) | 6.65703 | − | 6.65703i | 0.568748 | − | 0.568748i | −0.363029 | − | 0.931778i | \(-0.618258\pi\) |
0.931778 | + | 0.363029i | \(0.118258\pi\) | |||||||
\(138\) | 3.81493 | − | 3.81493i | 0.324749 | − | 0.324749i | ||||
\(139\) | − | 17.1478i | − | 1.45446i | −0.686394 | − | 0.727229i | \(-0.740808\pi\) | ||
0.686394 | − | 0.727229i | \(-0.259192\pi\) | |||||||
\(140\) | −0.425050 | + | 0.0667245i | −0.0359233 | + | 0.00563925i | ||||
\(141\) | 26.3768i | 2.22133i | ||||||||
\(142\) | −8.71342 | − | 8.71342i | −0.731214 | − | 0.731214i | ||||
\(143\) | 0.0755725 | − | 0.0755725i | 0.00631969 | − | 0.00631969i | ||||
\(144\) | − | 7.31224i | − | 0.609353i | ||||||
\(145\) | −0.0805285 | + | 0.110519i | −0.00668753 | + | 0.00917812i | ||||
\(146\) | −11.7100 | −0.969128 | ||||||||
\(147\) | −15.8109 | + | 15.8109i | −1.30406 | + | 1.30406i | ||||
\(148\) | 6.41444 | + | 6.41444i | 0.527264 | + | 0.527264i | ||||
\(149\) | 5.64237 | 0.462241 | 0.231120 | − | 0.972925i | \(-0.425761\pi\) | ||||
0.231120 | + | 0.972925i | \(0.425761\pi\) | |||||||
\(150\) | −4.91982 | − | 15.2840i | −0.401702 | − | 1.24794i | ||||
\(151\) | − | 8.47754i | − | 0.689892i | −0.938622 | − | 0.344946i | \(-0.887897\pi\) | ||
0.938622 | − | 0.344946i | \(-0.112103\pi\) | |||||||
\(152\) | 4.41818 | + | 4.41818i | 0.358361 | + | 0.358361i | ||||
\(153\) | 15.9359 | − | 15.9359i | 1.28834 | − | 1.28834i | ||||
\(154\) | 0.0638438i | 0.00514468i | ||||||||
\(155\) | 7.69544 | − | 10.5614i | 0.618113 | − | 0.848313i | ||||
\(156\) | 1.03437i | 0.0828162i | ||||||||
\(157\) | 1.60147 | − | 1.60147i | 0.127811 | − | 0.127811i | −0.640307 | − | 0.768119i | \(-0.721193\pi\) |
0.768119 | + | 0.640307i | \(0.221193\pi\) | |||||||
\(158\) | −3.48716 | − | 3.48716i | −0.277424 | − | 0.277424i | ||||
\(159\) | −40.9355 | −3.24640 | ||||||||
\(160\) | 0.346772 | + | 2.20902i | 0.0274147 | + | 0.174638i | ||||
\(161\) | − | 0.323271i | − | 0.0254773i | ||||||
\(162\) | −15.9326 | + | 15.9326i | −1.25178 | + | 1.25178i | ||||
\(163\) | 10.7173 | + | 10.7173i | 0.839442 | + | 0.839442i | 0.988785 | − | 0.149344i | \(-0.0477161\pi\) |
−0.149344 | + | 0.988785i | \(0.547716\pi\) | |||||||
\(164\) | − | 3.48498i | − | 0.272132i | ||||||
\(165\) | −2.35371 | + | 0.369486i | −0.183236 | + | 0.0287645i | ||||
\(166\) | − | 10.3062i | − | 0.799917i | ||||||
\(167\) | 4.81188 | + | 4.81188i | 0.372354 | + | 0.372354i | 0.868334 | − | 0.495980i | \(-0.165191\pi\) |
−0.495980 | + | 0.868334i | \(0.665191\pi\) | |||||||
\(168\) | −0.436921 | − | 0.436921i | −0.0337092 | − | 0.0337092i | ||||
\(169\) | 12.8962i | 0.992019i | ||||||||
\(170\) | −4.05848 | + | 5.56995i | −0.311271 | + | 0.427196i | ||||
\(171\) | − | 45.6887i | − | 3.49390i | ||||||
\(172\) | −5.15004 | − | 4.05920i | −0.392687 | − | 0.309511i | ||||
\(173\) | −9.67496 | + | 9.67496i | −0.735573 | + | 0.735573i | −0.971718 | − | 0.236145i | \(-0.924116\pi\) |
0.236145 | + | 0.971718i | \(0.424116\pi\) | |||||||
\(174\) | −0.196383 | −0.0148878 | ||||||||
\(175\) | −0.856020 | − | 0.439123i | −0.0647090 | − | 0.0331945i | ||||
\(176\) | 0.331801 | 0.0250104 | ||||||||
\(177\) | 12.6349 | − | 12.6349i | 0.949700 | − | 0.949700i | ||||
\(178\) | −7.54841 | + | 7.54841i | −0.565777 | + | 0.565777i | ||||
\(179\) | −2.19297 | −0.163910 | −0.0819551 | − | 0.996636i | \(-0.526116\pi\) | ||||
−0.0819551 | + | 0.996636i | \(0.526116\pi\) | |||||||
\(180\) | 9.62879 | − | 13.2148i | 0.717688 | − | 0.984972i | ||||
\(181\) | 12.4610 | 0.926217 | 0.463108 | − | 0.886302i | \(-0.346734\pi\) | ||||
0.463108 | + | 0.886302i | \(0.346734\pi\) | |||||||
\(182\) | 0.0438256 | + | 0.0438256i | 0.00324857 | + | 0.00324857i | ||||
\(183\) | −2.58744 | + | 2.58744i | −0.191269 | + | 0.191269i | ||||
\(184\) | −1.68006 | −0.123856 | ||||||||
\(185\) | 3.14571 | + | 20.0389i | 0.231277 | + | 1.47329i | ||||
\(186\) | 18.7667 | 1.37604 | ||||||||
\(187\) | 0.723110 | + | 0.723110i | 0.0528790 | + | 0.0528790i | ||||
\(188\) | 5.80806 | − | 5.80806i | 0.423596 | − | 0.423596i | ||||
\(189\) | 2.66453i | 0.193816i | ||||||||
\(190\) | 2.16672 | + | 13.8025i | 0.157190 | + | 1.00134i | ||||
\(191\) | 25.3921i | 1.83731i | 0.395065 | + | 0.918653i | \(0.370722\pi\) | ||||
−0.395065 | + | 0.918653i | \(0.629278\pi\) | |||||||
\(192\) | −2.27071 | + | 2.27071i | −0.163874 | + | 0.163874i | ||||
\(193\) | 6.98166 | − | 6.98166i | 0.502551 | − | 0.502551i | −0.409679 | − | 0.912230i | \(-0.634359\pi\) |
0.912230 | + | 0.409679i | \(0.134359\pi\) | |||||||
\(194\) | 14.3738 | 1.03198 | ||||||||
\(195\) | −1.36207 | + | 1.86934i | −0.0975398 | + | 0.133866i | ||||
\(196\) | 6.96298 | 0.497355 | ||||||||
\(197\) | 13.1418 | + | 13.1418i | 0.936317 | + | 0.936317i | 0.998090 | − | 0.0617736i | \(-0.0196757\pi\) |
−0.0617736 | + | 0.998090i | \(0.519676\pi\) | |||||||
\(198\) | −1.71559 | − | 1.71559i | −0.121922 | − | 0.121922i | ||||
\(199\) | 2.52666 | 0.179110 | 0.0895549 | − | 0.995982i | \(-0.471456\pi\) | ||||
0.0895549 | + | 0.995982i | \(0.471456\pi\) | |||||||
\(200\) | −2.28215 | + | 4.44880i | −0.161372 | + | 0.314577i | ||||
\(201\) | − | 39.8130i | − | 2.80820i | ||||||
\(202\) | 7.69548 | − | 7.69548i | 0.541452 | − | 0.541452i | ||||
\(203\) | −0.00832060 | + | 0.00832060i | −0.000583991 | + | 0.000583991i | ||||
\(204\) | −9.89733 | −0.692952 | ||||||||
\(205\) | 4.58904 | − | 6.29811i | 0.320513 | − | 0.439879i | ||||
\(206\) | 4.64425i | 0.323580i | ||||||||
\(207\) | 8.68682 | + | 8.68682i | 0.603776 | + | 0.603776i | ||||
\(208\) | 0.227765 | − | 0.227765i | 0.0157926 | − | 0.0157926i | ||||
\(209\) | 2.07317 | 0.143404 | ||||||||
\(210\) | −0.214270 | − | 1.36495i | −0.0147861 | − | 0.0941905i | ||||
\(211\) | − | 23.4480i | − | 1.61423i | −0.590397 | − | 0.807113i | \(-0.701029\pi\) | ||
0.590397 | − | 0.807113i | \(-0.298971\pi\) | |||||||
\(212\) | 9.01382 | + | 9.01382i | 0.619071 | + | 0.619071i | ||||
\(213\) | 27.9811 | − | 27.9811i | 1.91723 | − | 1.91723i | ||||
\(214\) | 15.1458 | 1.03535 | ||||||||
\(215\) | −3.96205 | − | 14.1174i | −0.270209 | − | 0.962802i | ||||
\(216\) | 13.8478 | 0.942220 | ||||||||
\(217\) | 0.795131 | − | 0.795131i | 0.0539770 | − | 0.0539770i | ||||
\(218\) | −8.44846 | − | 8.44846i | −0.572202 | − | 0.572202i | ||||
\(219\) | − | 37.6040i | − | 2.54104i | ||||||
\(220\) | 0.599636 | + | 0.436917i | 0.0404274 | + | 0.0294570i | ||||
\(221\) | 0.992756 | 0.0667800 | ||||||||
\(222\) | −20.5985 | + | 20.5985i | −1.38248 | + | 1.38248i | ||||
\(223\) | −12.1438 | − | 12.1438i | −0.813210 | − | 0.813210i | 0.171903 | − | 0.985114i | \(-0.445008\pi\) |
−0.985114 | + | 0.171903i | \(0.945008\pi\) | |||||||
\(224\) | 0.192416i | 0.0128563i | ||||||||
\(225\) | 34.8026 | − | 11.2027i | 2.32017 | − | 0.746847i | ||||
\(226\) | 5.08168 | 0.338028 | ||||||||
\(227\) | −8.71088 | + | 8.71088i | −0.578162 | + | 0.578162i | −0.934396 | − | 0.356235i | \(-0.884060\pi\) |
0.356235 | + | 0.934396i | \(0.384060\pi\) | |||||||
\(228\) | −14.1879 | + | 14.1879i | −0.939620 | + | 0.939620i | ||||
\(229\) | − | 9.95102i | − | 0.657582i | −0.944403 | − | 0.328791i | \(-0.893359\pi\) | ||
0.944403 | − | 0.328791i | \(-0.106641\pi\) | |||||||
\(230\) | −3.03623 | − | 2.21232i | −0.200203 | − | 0.145876i | ||||
\(231\) | −0.205020 | −0.0134893 | ||||||||
\(232\) | 0.0432427 | + | 0.0432427i | 0.00283902 | + | 0.00283902i | ||||
\(233\) | 14.5338 | + | 14.5338i | 0.952142 | + | 0.952142i | 0.998906 | − | 0.0467643i | \(-0.0148910\pi\) |
−0.0467643 | + | 0.998906i | \(0.514891\pi\) | |||||||
\(234\) | −2.35533 | −0.153973 | ||||||||
\(235\) | 18.1445 | − | 2.84833i | 1.18362 | − | 0.185805i | ||||
\(236\) | −5.56431 | −0.362206 | ||||||||
\(237\) | 11.1982 | − | 11.1982i | 0.727402 | − | 0.727402i | ||||
\(238\) | −0.419342 | + | 0.419342i | −0.0271819 | + | 0.0271819i | ||||
\(239\) | − | 6.34892i | − | 0.410678i | −0.978691 | − | 0.205339i | \(-0.934170\pi\) | ||
0.978691 | − | 0.205339i | \(-0.0658296\pi\) | |||||||
\(240\) | −7.09374 | + | 1.11358i | −0.457899 | + | 0.0718811i | ||||
\(241\) | 13.9058i | 0.895748i | 0.894097 | + | 0.447874i | \(0.147819\pi\) | ||||
−0.894097 | + | 0.447874i | \(0.852181\pi\) | |||||||
\(242\) | −7.70033 | + | 7.70033i | −0.494996 | + | 0.494996i | ||||
\(243\) | −21.7884 | − | 21.7884i | −1.39772 | − | 1.39772i | ||||
\(244\) | 1.13949 | 0.0729481 | ||||||||
\(245\) | 12.5836 | + | 9.16888i | 0.803936 | + | 0.585778i | ||||
\(246\) | 11.1912 | 0.713526 | ||||||||
\(247\) | 1.42313 | − | 1.42313i | 0.0905515 | − | 0.0905515i | ||||
\(248\) | −4.13235 | − | 4.13235i | −0.262404 | − | 0.262404i | ||||
\(249\) | 33.0960 | 2.09737 | ||||||||
\(250\) | −9.98253 | + | 5.03478i | −0.631351 | + | 0.318428i | ||||
\(251\) | −15.4059 | −0.972413 | −0.486206 | − | 0.873844i | \(-0.661620\pi\) | ||||
−0.486206 | + | 0.873844i | \(0.661620\pi\) | |||||||
\(252\) | 0.994894 | − | 0.994894i | 0.0626724 | − | 0.0626724i | ||||
\(253\) | −0.394174 | + | 0.394174i | −0.0247815 | + | 0.0247815i | ||||
\(254\) | 11.9179 | 0.747792 | ||||||||
\(255\) | −17.8866 | − | 13.0329i | −1.12010 | − | 0.816149i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 2.52820 | − | 2.52820i | 0.157705 | − | 0.157705i | −0.623844 | − | 0.781549i | \(-0.714430\pi\) |
0.781549 | + | 0.623844i | \(0.214430\pi\) | |||||||
\(258\) | 13.0352 | − | 16.5381i | 0.811535 | − | 1.02962i | ||||
\(259\) | 1.74548i | 0.108459i | ||||||||
\(260\) | 0.711541 | − | 0.111698i | 0.0441279 | − | 0.00692721i | ||||
\(261\) | − | 0.447176i | − | 0.0276795i | ||||||
\(262\) | 11.1852 | + | 11.1852i | 0.691022 | + | 0.691022i | ||||
\(263\) | 8.86096 | + | 8.86096i | 0.546390 | + | 0.546390i | 0.925395 | − | 0.379004i | \(-0.123734\pi\) |
−0.379004 | + | 0.925395i | \(0.623734\pi\) | |||||||
\(264\) | 1.06550i | 0.0655771i | ||||||||
\(265\) | 4.42046 | + | 28.1593i | 0.271547 | + | 1.72981i | ||||
\(266\) | 1.20226i | 0.0737155i | ||||||||
\(267\) | −24.2400 | − | 24.2400i | −1.48346 | − | 1.48346i | ||||
\(268\) | −8.76665 | + | 8.76665i | −0.535509 | + | 0.535509i | ||||
\(269\) | − | 3.37276i | − | 0.205641i | −0.994700 | − | 0.102821i | \(-0.967213\pi\) | ||
0.994700 | − | 0.102821i | \(-0.0327867\pi\) | |||||||
\(270\) | 25.0259 | + | 18.2348i | 1.52303 | + | 1.10973i | ||||
\(271\) | 14.3651 | 0.872620 | 0.436310 | − | 0.899796i | \(-0.356285\pi\) | ||||
0.436310 | + | 0.899796i | \(0.356285\pi\) | |||||||
\(272\) | 2.17935 | + | 2.17935i | 0.132142 | + | 0.132142i | ||||
\(273\) | −0.140736 | + | 0.140736i | −0.00851770 | + | 0.00851770i | ||||
\(274\) | − | 9.41446i | − | 0.568748i | ||||||
\(275\) | 0.508336 | + | 1.57921i | 0.0306538 | + | 0.0952297i | ||||
\(276\) | − | 5.39513i | − | 0.324749i | ||||||
\(277\) | −13.0716 | + | 13.0716i | −0.785398 | + | 0.785398i | −0.980736 | − | 0.195338i | \(-0.937420\pi\) |
0.195338 | + | 0.980736i | \(0.437420\pi\) | |||||||
\(278\) | −12.1253 | − | 12.1253i | −0.727229 | − | 0.727229i | ||||
\(279\) | 42.7329i | 2.55835i | ||||||||
\(280\) | −0.253374 | + | 0.347737i | −0.0151420 | + | 0.0207813i | ||||
\(281\) | −20.5868 | −1.22810 | −0.614052 | − | 0.789266i | \(-0.710461\pi\) | ||||
−0.614052 | + | 0.789266i | \(0.710461\pi\) | |||||||
\(282\) | 18.6512 | + | 18.6512i | 1.11066 | + | 1.11066i | ||||
\(283\) | −11.0135 | + | 11.0135i | −0.654686 | + | 0.654686i | −0.954118 | − | 0.299432i | \(-0.903203\pi\) |
0.299432 | + | 0.954118i | \(0.403203\pi\) | |||||||
\(284\) | −12.3226 | −0.731214 | ||||||||
\(285\) | −44.3234 | + | 6.95791i | −2.62549 | + | 0.412151i | ||||
\(286\) | − | 0.106876i | − | 0.00631969i | ||||||
\(287\) | 0.474162 | − | 0.474162i | 0.0279889 | − | 0.0279889i | ||||
\(288\) | −5.17053 | − | 5.17053i | −0.304677 | − | 0.304677i | ||||
\(289\) | − | 7.50088i | − | 0.441228i | ||||||
\(290\) | 0.0212067 | + | 0.135091i | 0.00124530 | + | 0.00793282i | ||||
\(291\) | 46.1581i | 2.70584i | ||||||||
\(292\) | −8.28023 | + | 8.28023i | −0.484564 | + | 0.484564i | ||||
\(293\) | −5.20149 | + | 5.20149i | −0.303875 | + | 0.303875i | −0.842528 | − | 0.538653i | \(-0.818933\pi\) |
0.538653 | + | 0.842528i | \(0.318933\pi\) | |||||||
\(294\) | 22.3600i | 1.30406i | ||||||||
\(295\) | −10.0559 | − | 7.32711i | −0.585478 | − | 0.426601i | ||||
\(296\) | 9.07139 | 0.527264 | ||||||||
\(297\) | 3.24894 | − | 3.24894i | 0.188523 | − | 0.188523i | ||||
\(298\) | 3.98976 | − | 3.98976i | 0.231120 | − | 0.231120i | ||||
\(299\) | 0.541161i | 0.0312962i | ||||||||
\(300\) | −14.2863 | − | 7.32860i | −0.824818 | − | 0.423117i | ||||
\(301\) | −0.148418 | − | 1.25300i | −0.00855467 | − | 0.0722216i | ||||
\(302\) | −5.99452 | − | 5.99452i | −0.344946 | − | 0.344946i | ||||
\(303\) | 24.7122 | + | 24.7122i | 1.41968 | + | 1.41968i | ||||
\(304\) | 6.24824 | 0.358361 | ||||||||
\(305\) | 2.05930 | + | 1.50048i | 0.117915 | + | 0.0859173i | ||||
\(306\) | − | 22.5368i | − | 1.28834i | ||||||
\(307\) | −20.0389 | − | 20.0389i | −1.14368 | − | 1.14368i | −0.987771 | − | 0.155911i | \(-0.950169\pi\) |
−0.155911 | − | 0.987771i | \(-0.549831\pi\) | |||||||
\(308\) | 0.0451444 | + | 0.0451444i | 0.00257234 | + | 0.00257234i | ||||
\(309\) | −14.9139 | −0.848424 | ||||||||
\(310\) | −2.02654 | − | 12.9095i | −0.115100 | − | 0.733213i | ||||
\(311\) | 30.2370 | 1.71458 | 0.857290 | − | 0.514833i | \(-0.172146\pi\) | ||||
0.857290 | + | 0.514833i | \(0.172146\pi\) | |||||||
\(312\) | 0.731413 | + | 0.731413i | 0.0414081 | + | 0.0414081i | ||||
\(313\) | −5.27251 | − | 5.27251i | −0.298020 | − | 0.298020i | 0.542218 | − | 0.840238i | \(-0.317585\pi\) |
−0.840238 | + | 0.542218i | \(0.817585\pi\) | |||||||
\(314\) | − | 2.26482i | − | 0.127811i | ||||||
\(315\) | 3.10807 | − | 0.487906i | 0.175120 | − | 0.0274904i | ||||
\(316\) | −4.93159 | −0.277424 | ||||||||
\(317\) | 18.6979 | + | 18.6979i | 1.05018 | + | 1.05018i | 0.998673 | + | 0.0515074i | \(0.0164026\pi\) |
0.0515074 | + | 0.998673i | \(0.483597\pi\) | |||||||
\(318\) | −28.9458 | + | 28.9458i | −1.62320 | + | 1.62320i | ||||
\(319\) | 0.0202911 | 0.00113608 | ||||||||
\(320\) | 1.80721 | + | 1.31680i | 0.101026 | + | 0.0736116i | ||||
\(321\) | 48.6372i | 2.71467i | ||||||||
\(322\) | −0.228587 | − | 0.228587i | −0.0127387 | − | 0.0127387i | ||||
\(323\) | 13.6171 | + | 13.6171i | 0.757676 | + | 0.757676i | ||||
\(324\) | 22.5321i | 1.25178i | ||||||||
\(325\) | 1.43299 | + | 0.735098i | 0.0794881 | + | 0.0407759i | ||||
\(326\) | 15.1565 | 0.839442 | ||||||||
\(327\) | 27.1303 | − | 27.1303i | 1.50031 | − | 1.50031i | ||||
\(328\) | −2.46426 | − | 2.46426i | −0.136066 | − | 0.136066i | ||||
\(329\) | 1.58047 | 0.0871344 | ||||||||
\(330\) | −1.40306 | + | 1.92559i | −0.0772358 | + | 0.106000i | ||||
\(331\) | 6.25818i | 0.343981i | 0.985099 | + | 0.171990i | \(0.0550198\pi\) | ||||
−0.985099 | + | 0.171990i | \(0.944980\pi\) | |||||||
\(332\) | −7.28759 | − | 7.28759i | −0.399958 | − | 0.399958i | ||||
\(333\) | −46.9039 | − | 46.9039i | −2.57032 | − | 2.57032i | ||||
\(334\) | 6.80502 | 0.372354 | ||||||||
\(335\) | −27.3872 | + | 4.29925i | −1.49632 | + | 0.234893i | ||||
\(336\) | −0.617899 | −0.0337092 | ||||||||
\(337\) | −7.21962 | − | 7.21962i | −0.393278 | − | 0.393278i | 0.482576 | − | 0.875854i | \(-0.339701\pi\) |
−0.875854 | + | 0.482576i | \(0.839701\pi\) | |||||||
\(338\) | 9.11902 | + | 9.11902i | 0.496009 | + | 0.496009i | ||||
\(339\) | 16.3186i | 0.886306i | ||||||||
\(340\) | 1.06877 | + | 6.80833i | 0.0579624 | + | 0.369233i | ||||
\(341\) | −1.93905 | −0.105006 | ||||||||
\(342\) | −32.3068 | − | 32.3068i | −1.74695 | − | 1.74695i | ||||
\(343\) | 1.89978 | + | 1.89978i | 0.102579 | + | 0.102579i | ||||
\(344\) | −6.51192 | + | 0.771338i | −0.351099 | + | 0.0415878i | ||||
\(345\) | 7.10434 | − | 9.75016i | 0.382485 | − | 0.524931i | ||||
\(346\) | 13.6825i | 0.735573i | ||||||||
\(347\) | 20.0067 | − | 20.0067i | 1.07402 | − | 1.07402i | 0.0769826 | − | 0.997032i | \(-0.475471\pi\) |
0.997032 | − | 0.0769826i | \(-0.0245286\pi\) | |||||||
\(348\) | −0.138864 | + | 0.138864i | −0.00744389 | + | 0.00744389i | ||||
\(349\) | 17.4644 | 0.934848 | 0.467424 | − | 0.884033i | \(-0.345182\pi\) | ||||
0.467424 | + | 0.884033i | \(0.345182\pi\) | |||||||
\(350\) | −0.915804 | + | 0.294791i | −0.0489518 | + | 0.0157572i | ||||
\(351\) | − | 4.46047i | − | 0.238082i | ||||||
\(352\) | 0.234619 | − | 0.234619i | 0.0125052 | − | 0.0125052i | ||||
\(353\) | 9.58097 | − | 9.58097i | 0.509944 | − | 0.509944i | −0.404565 | − | 0.914509i | \(-0.632577\pi\) |
0.914509 | + | 0.404565i | \(0.132577\pi\) | |||||||
\(354\) | − | 17.8685i | − | 0.949700i | ||||||
\(355\) | −22.2697 | − | 16.2265i | −1.18195 | − | 0.861214i | ||||
\(356\) | 10.6751i | 0.565777i | ||||||||
\(357\) | −1.34662 | − | 1.34662i | −0.0712706 | − | 0.0712706i | ||||
\(358\) | −1.55066 | + | 1.55066i | −0.0819551 | + | 0.0819551i | ||||
\(359\) | − | 10.5021i | − | 0.554280i | −0.960830 | − | 0.277140i | \(-0.910613\pi\) | ||
0.960830 | − | 0.277140i | \(-0.0893865\pi\) | |||||||
\(360\) | −2.53568 | − | 16.1528i | −0.133642 | − | 0.851330i | ||||
\(361\) | 20.0406 | 1.05477 | ||||||||
\(362\) | 8.81124 | − | 8.81124i | 0.463108 | − | 0.463108i | ||||
\(363\) | −24.7278 | − | 24.7278i | −1.29787 | − | 1.29787i | ||||
\(364\) | 0.0619787 | 0.00324857 | ||||||||
\(365\) | −25.8676 | + | 4.06071i | −1.35397 | + | 0.212547i | ||||
\(366\) | 3.65919i | 0.191269i | ||||||||
\(367\) | −15.2206 | − | 15.2206i | −0.794511 | − | 0.794511i | 0.187713 | − | 0.982224i | \(-0.439893\pi\) |
−0.982224 | + | 0.187713i | \(0.939893\pi\) | |||||||
\(368\) | −1.18798 | + | 1.18798i | −0.0619279 | + | 0.0619279i | ||||
\(369\) | 25.4830i | 1.32659i | ||||||||
\(370\) | 16.3940 | + | 11.9453i | 0.852281 | + | 0.621004i | ||||
\(371\) | 2.45282i | 0.127344i | ||||||||
\(372\) | 13.2701 | − | 13.2701i | 0.688022 | − | 0.688022i | ||||
\(373\) | −11.7798 | − | 11.7798i | −0.609934 | − | 0.609934i | 0.332995 | − | 0.942929i | \(-0.391941\pi\) |
−0.942929 | + | 0.332995i | \(0.891941\pi\) | |||||||
\(374\) | 1.02263 | 0.0528790 | ||||||||
\(375\) | −16.1680 | − | 32.0566i | −0.834914 | − | 1.65539i | ||||
\(376\) | − | 8.21384i | − | 0.423596i | ||||||
\(377\) | 0.0139288 | − | 0.0139288i | 0.000717370 | − | 0.000717370i | ||||
\(378\) | 1.88411 | + | 1.88411i | 0.0969080 | + | 0.0969080i | ||||
\(379\) | − | 12.4382i | − | 0.638907i | −0.947602 | − | 0.319454i | \(-0.896501\pi\) | ||
0.947602 | − | 0.319454i | \(-0.103499\pi\) | |||||||
\(380\) | 11.2919 | + | 8.22772i | 0.579263 | + | 0.422073i | ||||
\(381\) | 38.2714i | 1.96070i | ||||||||
\(382\) | 17.9549 | + | 17.9549i | 0.918653 | + | 0.918653i | ||||
\(383\) | 24.9546 | + | 24.9546i | 1.27512 | + | 1.27512i | 0.943366 | + | 0.331753i | \(0.107640\pi\) |
0.331753 | + | 0.943366i | \(0.392360\pi\) | |||||||
\(384\) | 3.21127i | 0.163874i | ||||||||
\(385\) | 0.0221393 | + | 0.141032i | 0.00112832 | + | 0.00718766i | ||||
\(386\) | − | 9.87355i | − | 0.502551i | ||||||
\(387\) | 37.6583 | + | 29.6818i | 1.91428 | + | 1.50881i | ||||
\(388\) | 10.1638 | − | 10.1638i | 0.515989 | − | 0.515989i | ||||
\(389\) | −13.5807 | −0.688567 | −0.344283 | − | 0.938866i | \(-0.611878\pi\) | ||||
−0.344283 | + | 0.938866i | \(0.611878\pi\) | |||||||
\(390\) | 0.358692 | + | 2.28495i | 0.0181631 | + | 0.115703i | ||||
\(391\) | −5.17806 | −0.261866 | ||||||||
\(392\) | 4.92357 | − | 4.92357i | 0.248678 | − | 0.248678i | ||||
\(393\) | −35.9185 | + | 35.9185i | −1.81185 | + | 1.81185i | ||||
\(394\) | 18.5854 | 0.936317 | ||||||||
\(395\) | −8.91244 | − | 6.49394i | −0.448434 | − | 0.326746i | ||||
\(396\) | −2.42621 | −0.121922 | ||||||||
\(397\) | 11.5455 | + | 11.5455i | 0.579451 | + | 0.579451i | 0.934752 | − | 0.355301i | \(-0.115622\pi\) |
−0.355301 | + | 0.934752i | \(0.615622\pi\) | |||||||
\(398\) | 1.78662 | − | 1.78662i | 0.0895549 | − | 0.0895549i | ||||
\(399\) | −3.86079 | −0.193281 | ||||||||
\(400\) | 1.53205 | + | 4.75950i | 0.0766025 | + | 0.237975i | ||||
\(401\) | −5.45642 | −0.272480 | −0.136240 | − | 0.990676i | \(-0.543502\pi\) | ||||
−0.136240 | + | 0.990676i | \(0.543502\pi\) | |||||||
\(402\) | −28.1521 | − | 28.1521i | −1.40410 | − | 1.40410i | ||||
\(403\) | −1.33106 | + | 1.33106i | −0.0663049 | + | 0.0663049i | ||||
\(404\) | − | 10.8831i | − | 0.541452i | ||||||
\(405\) | −29.6704 | + | 40.7204i | −1.47433 | + | 2.02341i | ||||
\(406\) | 0.0117671i | 0.000583991i | ||||||||
\(407\) | 2.12832 | − | 2.12832i | 0.105497 | − | 0.105497i | ||||
\(408\) | −6.99847 | + | 6.99847i | −0.346476 | + | 0.346476i | ||||
\(409\) | 6.76815 | 0.334663 | 0.167332 | − | 0.985901i | \(-0.446485\pi\) | ||||
0.167332 | + | 0.985901i | \(0.446485\pi\) | |||||||
\(410\) | −1.20850 | − | 7.69838i | −0.0596833 | − | 0.380196i | ||||
\(411\) | 30.2323 | 1.49125 | ||||||||
\(412\) | 3.28398 | + | 3.28398i | 0.161790 | + | 0.161790i | ||||
\(413\) | −0.757073 | − | 0.757073i | −0.0372531 | − | 0.0372531i | ||||
\(414\) | 12.2850 | 0.603776 | ||||||||
\(415\) | −3.57390 | − | 22.7666i | −0.175436 | − | 1.11757i | ||||
\(416\) | − | 0.322108i | − | 0.0157926i | ||||||
\(417\) | 38.9377 | − | 38.9377i | 1.90679 | − | 1.90679i | ||||
\(418\) | 1.46596 | − | 1.46596i | 0.0717022 | − | 0.0717022i | ||||
\(419\) | −0.965048 | −0.0471457 | −0.0235728 | − | 0.999722i | \(-0.507504\pi\) | ||||
−0.0235728 | + | 0.999722i | \(0.507504\pi\) | |||||||
\(420\) | −1.11668 | − | 0.813653i | −0.0544883 | − | 0.0397022i | ||||
\(421\) | − | 33.6901i | − | 1.64196i | −0.570959 | − | 0.820979i | \(-0.693428\pi\) | ||
0.570959 | − | 0.820979i | \(-0.306572\pi\) | |||||||
\(422\) | −16.5802 | − | 16.5802i | −0.807113 | − | 0.807113i | ||||
\(423\) | −42.4699 | + | 42.4699i | −2.06496 | + | 2.06496i | ||||
\(424\) | 12.7475 | 0.619071 | ||||||||
\(425\) | −7.03373 | + | 13.7115i | −0.341186 | + | 0.665104i | ||||
\(426\) | − | 39.5713i | − | 1.91723i | ||||||
\(427\) | 0.155037 | + | 0.155037i | 0.00750277 | + | 0.00750277i | ||||
\(428\) | 10.7097 | − | 10.7097i | 0.517673 | − | 0.517673i | ||||
\(429\) | 0.343206 | 0.0165702 | ||||||||
\(430\) | −12.7841 | − | 7.18095i | −0.616506 | − | 0.346296i | ||||
\(431\) | 9.40345 | 0.452948 | 0.226474 | − | 0.974017i | \(-0.427280\pi\) | ||||
0.226474 | + | 0.974017i | \(0.427280\pi\) | |||||||
\(432\) | 9.79184 | − | 9.79184i | 0.471110 | − | 0.471110i | ||||
\(433\) | −3.57975 | − | 3.57975i | −0.172032 | − | 0.172032i | 0.615840 | − | 0.787871i | \(-0.288817\pi\) |
−0.787871 | + | 0.615840i | \(0.788817\pi\) | |||||||
\(434\) | − | 1.12448i | − | 0.0539770i | ||||||
\(435\) | −0.433814 | + | 0.0681002i | −0.0207998 | + | 0.00326516i | ||||
\(436\) | −11.9479 | −0.572202 | ||||||||
\(437\) | −7.42281 | + | 7.42281i | −0.355081 | + | 0.355081i | ||||
\(438\) | −26.5900 | − | 26.5900i | −1.27052 | − | 1.27052i | ||||
\(439\) | − | 1.62440i | − | 0.0775285i | −0.999248 | − | 0.0387643i | \(-0.987658\pi\) | ||
0.999248 | − | 0.0387643i | \(-0.0123421\pi\) | |||||||
\(440\) | 0.732954 | − | 0.115059i | 0.0349422 | − | 0.00548524i | ||||
\(441\) | −50.9149 | −2.42452 | ||||||||
\(442\) | 0.701985 | − | 0.701985i | 0.0333900 | − | 0.0333900i | ||||
\(443\) | −10.3173 | + | 10.3173i | −0.490188 | + | 0.490188i | −0.908365 | − | 0.418178i | \(-0.862669\pi\) |
0.418178 | + | 0.908365i | \(0.362669\pi\) | |||||||
\(444\) | 29.1307i | 1.38248i | ||||||||
\(445\) | −14.0570 | + | 19.2921i | −0.666365 | + | 0.914535i | ||||
\(446\) | −17.1740 | −0.813210 | ||||||||
\(447\) | 12.8122 | + | 12.8122i | 0.605995 | + | 0.605995i | ||||
\(448\) | 0.136059 | + | 0.136059i | 0.00642817 | + | 0.00642817i | ||||
\(449\) | −0.0835057 | −0.00394088 | −0.00197044 | − | 0.999998i | \(-0.500627\pi\) | ||||
−0.00197044 | + | 0.999998i | \(0.500627\pi\) | |||||||
\(450\) | 16.6876 | − | 32.5307i | 0.786662 | − | 1.53351i | ||||
\(451\) | −1.15632 | −0.0544490 | ||||||||
\(452\) | 3.59329 | − | 3.59329i | 0.169014 | − | 0.169014i | ||||
\(453\) | 19.2500 | − | 19.2500i | 0.904445 | − | 0.904445i | ||||
\(454\) | 12.3190i | 0.578162i | ||||||||
\(455\) | 0.112009 | + | 0.0816138i | 0.00525105 | + | 0.00382612i | ||||
\(456\) | 20.0648i | 0.939620i | ||||||||
\(457\) | −13.3100 | + | 13.3100i | −0.622614 | + | 0.622614i | −0.946199 | − | 0.323585i | \(-0.895112\pi\) |
0.323585 | + | 0.946199i | \(0.395112\pi\) | |||||||
\(458\) | −7.03643 | − | 7.03643i | −0.328791 | − | 0.328791i | ||||
\(459\) | 42.6796 | 1.99212 | ||||||||
\(460\) | −3.71129 | + | 0.582599i | −0.173040 | + | 0.0271638i | ||||
\(461\) | −38.2888 | −1.78329 | −0.891643 | − | 0.452740i | \(-0.850447\pi\) | ||||
−0.891643 | + | 0.452740i | \(0.850447\pi\) | |||||||
\(462\) | −0.144971 | + | 0.144971i | −0.00674465 | + | 0.00674465i | ||||
\(463\) | −1.06748 | − | 1.06748i | −0.0496100 | − | 0.0496100i | 0.681867 | − | 0.731477i | \(-0.261168\pi\) |
−0.731477 | + | 0.681867i | \(0.761168\pi\) | |||||||
\(464\) | 0.0611545 | 0.00283902 | ||||||||
\(465\) | 41.4560 | − | 6.50778i | 1.92248 | − | 0.301791i | ||||
\(466\) | 20.5539 | 0.952142 | ||||||||
\(467\) | −17.4531 | + | 17.4531i | −0.807633 | + | 0.807633i | −0.984275 | − | 0.176642i | \(-0.943477\pi\) |
0.176642 | + | 0.984275i | \(0.443477\pi\) | |||||||
\(468\) | −1.66547 | + | 1.66547i | −0.0769863 | + | 0.0769863i | ||||
\(469\) | −2.38556 | −0.110155 | ||||||||
\(470\) | 10.8160 | − | 14.8442i | 0.498906 | − | 0.684710i | ||||
\(471\) | 7.27295 | 0.335120 | ||||||||
\(472\) | −3.93456 | + | 3.93456i | −0.181103 | + | 0.181103i | ||||
\(473\) | −1.34685 | + | 1.70879i | −0.0619281 | + | 0.0785701i | ||||
\(474\) | − | 15.8367i | − | 0.727402i | ||||||
\(475\) | 9.57262 | + | 29.7385i | 0.439222 | + | 1.36450i | ||||
\(476\) | 0.593039i | 0.0271819i | ||||||||
\(477\) | −65.9112 | − | 65.9112i | −3.01787 | − | 3.01787i | ||||
\(478\) | −4.48937 | − | 4.48937i | −0.205339 | − | 0.205339i | ||||
\(479\) | − | 25.1153i | − | 1.14755i | −0.819015 | − | 0.573773i | \(-0.805479\pi\) | ||
0.819015 | − | 0.573773i | \(-0.194521\pi\) | |||||||
\(480\) | −4.22861 | + | 5.80345i | −0.193009 | + | 0.264890i | ||||
\(481\) | − | 2.92197i | − | 0.133230i | ||||||
\(482\) | 9.83285 | + | 9.83285i | 0.447874 | + | 0.447874i | ||||
\(483\) | 0.734055 | − | 0.734055i | 0.0334006 | − | 0.0334006i | ||||
\(484\) | 10.8899i | 0.494996i | ||||||||
\(485\) | 31.7519 | − | 4.98443i | 1.44178 | − | 0.226331i | ||||
\(486\) | −30.8134 | −1.39772 | ||||||||
\(487\) | 19.1898 | + | 19.1898i | 0.869574 | + | 0.869574i | 0.992425 | − | 0.122851i | \(-0.0392038\pi\) |
−0.122851 | + | 0.992425i | \(0.539204\pi\) | |||||||
\(488\) | 0.805738 | − | 0.805738i | 0.0364741 | − | 0.0364741i | ||||
\(489\) | 48.6716i | 2.20101i | ||||||||
\(490\) | 15.3813 | − | 2.41457i | 0.694857 | − | 0.109079i | ||||
\(491\) | − | 6.17161i | − | 0.278521i | −0.990256 | − | 0.139260i | \(-0.955527\pi\) | ||
0.990256 | − | 0.139260i | \(-0.0444725\pi\) | |||||||
\(492\) | 7.91339 | − | 7.91339i | 0.356763 | − | 0.356763i | ||||
\(493\) | 0.133277 | + | 0.133277i | 0.00600249 | + | 0.00600249i | ||||
\(494\) | − | 2.01261i | − | 0.0905515i | ||||||
\(495\) | −4.38468 | − | 3.19484i | −0.197077 | − | 0.143597i | ||||
\(496\) | −5.84403 | −0.262404 | ||||||||
\(497\) | −1.67660 | − | 1.67660i | −0.0752059 | − | 0.0752059i | ||||
\(498\) | 23.4024 | − | 23.4024i | 1.04869 | − | 1.04869i | ||||
\(499\) | −22.4749 | −1.00611 | −0.503056 | − | 0.864254i | \(-0.667791\pi\) | ||||
−0.503056 | + | 0.864254i | \(0.667791\pi\) | |||||||
\(500\) | −3.49859 | + | 10.6188i | −0.156462 | + | 0.474889i | ||||
\(501\) | 21.8527i | 0.976309i | ||||||||
\(502\) | −10.8936 | + | 10.8936i | −0.486206 | + | 0.486206i | ||||
\(503\) | −25.5375 | − | 25.5375i | −1.13866 | − | 1.13866i | −0.988691 | − | 0.149970i | \(-0.952082\pi\) |
−0.149970 | − | 0.988691i | \(-0.547918\pi\) | |||||||
\(504\) | − | 1.40699i | − | 0.0626724i | ||||||
\(505\) | 14.3309 | − | 19.6680i | 0.637715 | − | 0.875215i | ||||
\(506\) | 0.557447i | 0.0247815i | ||||||||
\(507\) | −29.2836 | + | 29.2836i | −1.30053 | + | 1.30053i | ||||
\(508\) | 8.42719 | − | 8.42719i | 0.373896 | − | 0.373896i | ||||
\(509\) | 2.85645i | 0.126610i | 0.997994 | + | 0.0633049i | \(0.0201640\pi\) | ||||
−0.997994 | + | 0.0633049i | \(0.979836\pi\) | |||||||
\(510\) | −21.8634 | + | 3.43212i | −0.968126 | + | 0.151977i | ||||
\(511\) | −2.25320 | −0.0996755 | ||||||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 61.1818 | − | 61.1818i | 2.70124 | − | 2.70124i | ||||
\(514\) | − | 3.57541i | − | 0.157705i | ||||||
\(515\) | 1.61050 | + | 10.2592i | 0.0709670 | + | 0.452076i | ||||
\(516\) | −2.47697 | − | 20.9115i | −0.109043 | − | 0.920577i | ||||
\(517\) | −1.92712 | − | 1.92712i | −0.0847546 | − | 0.0847546i | ||||
\(518\) | 1.23424 | + | 1.23424i | 0.0542295 | + | 0.0542295i | ||||
\(519\) | −43.9380 | −1.92867 | ||||||||
\(520\) | 0.424153 | − | 0.582118i | 0.0186003 | − | 0.0255275i | ||||
\(521\) | − | 22.4314i | − | 0.982738i | −0.870952 | − | 0.491369i | \(-0.836497\pi\) | ||
0.870952 | − | 0.491369i | \(-0.163503\pi\) | |||||||
\(522\) | −0.316201 | − | 0.316201i | −0.0138397 | − | 0.0138397i | ||||
\(523\) | −16.0520 | − | 16.0520i | −0.701906 | − | 0.701906i | 0.262913 | − | 0.964819i | \(-0.415317\pi\) |
−0.964819 | + | 0.262913i | \(0.915317\pi\) | |||||||
\(524\) | 15.8182 | 0.691022 | ||||||||
\(525\) | −0.946653 | − | 2.94089i | −0.0413153 | − | 0.128351i | ||||
\(526\) | 12.5313 | 0.546390 | ||||||||
\(527\) | −12.7362 | − | 12.7362i | −0.554796 | − | 0.554796i | ||||
\(528\) | 0.753423 | + | 0.753423i | 0.0327885 | + | 0.0327885i | ||||
\(529\) | 20.1774i | 0.877278i | ||||||||
\(530\) | 23.0374 | + | 16.7859i | 1.00068 | + | 0.729134i | ||||
\(531\) | 40.6876 | 1.76569 | ||||||||
\(532\) | 0.850128 | + | 0.850128i | 0.0368577 | + | 0.0368577i | ||||
\(533\) | −0.793756 | + | 0.793756i | −0.0343814 | + | 0.0343814i | ||||
\(534\) | −34.2805 | −1.48346 | ||||||||
\(535\) | 33.4573 | − | 5.25214i | 1.44649 | − | 0.227070i | ||||
\(536\) | 12.3979i | 0.535509i | ||||||||
\(537\) | −4.97960 | − | 4.97960i | −0.214885 | − | 0.214885i | ||||
\(538\) | −2.38490 | − | 2.38490i | −0.102821 | − | 0.102821i | ||||
\(539\) | − | 2.31032i | − | 0.0995126i | ||||||
\(540\) | 30.5899 | − | 4.80201i | 1.31638 | − | 0.206646i | ||||
\(541\) | 13.2089 | 0.567894 | 0.283947 | − | 0.958840i | \(-0.408356\pi\) | ||||
0.283947 | + | 0.958840i | \(0.408356\pi\) | |||||||
\(542\) | 10.1577 | − | 10.1577i | 0.436310 | − | 0.436310i | ||||
\(543\) | 28.2952 | + | 28.2952i | 1.21426 | + | 1.21426i | ||||
\(544\) | 3.08206 | 0.132142 | ||||||||
\(545\) | −21.5925 | − | 15.7331i | −0.924920 | − | 0.673931i | ||||
\(546\) | 0.199030i | 0.00851770i | ||||||||
\(547\) | 6.31769 | + | 6.31769i | 0.270125 | + | 0.270125i | 0.829150 | − | 0.559026i | \(-0.188825\pi\) |
−0.559026 | + | 0.829150i | \(0.688825\pi\) | |||||||
\(548\) | −6.65703 | − | 6.65703i | −0.284374 | − | 0.284374i | ||||
\(549\) | −8.33219 | −0.355609 | ||||||||
\(550\) | 1.47611 | + | 0.757220i | 0.0629418 | + | 0.0322880i | ||||
\(551\) | 0.382108 | 0.0162783 | ||||||||
\(552\) | −3.81493 | − | 3.81493i | −0.162374 | − | 0.162374i | ||||
\(553\) | −0.670986 | − | 0.670986i | −0.0285332 | − | 0.0285332i | ||||
\(554\) | 18.4861i | 0.785398i | ||||||||
\(555\) | −38.3594 | + | 52.6454i | −1.62827 | + | 2.23467i | ||||
\(556\) | −17.1478 | −0.727229 | ||||||||
\(557\) | 13.6230 | + | 13.6230i | 0.577227 | + | 0.577227i | 0.934138 | − | 0.356911i | \(-0.116170\pi\) |
−0.356911 | + | 0.934138i | \(0.616170\pi\) | |||||||
\(558\) | 30.2167 | + | 30.2167i | 1.27918 | + | 1.27918i | ||||
\(559\) | 0.248454 | + | 2.09754i | 0.0105085 | + | 0.0887164i | ||||
\(560\) | 0.0667245 | + | 0.425050i | 0.00281963 | + | 0.0179616i | ||||
\(561\) | 3.28394i | 0.138648i | ||||||||
\(562\) | −14.5570 | + | 14.5570i | −0.614052 | + | 0.614052i | ||||
\(563\) | −11.9580 | + | 11.9580i | −0.503970 | + | 0.503970i | −0.912669 | − | 0.408699i | \(-0.865983\pi\) |
0.408699 | + | 0.912669i | \(0.365983\pi\) | |||||||
\(564\) | 26.3768 | 1.11066 | ||||||||
\(565\) | 11.2255 | − | 1.76218i | 0.472260 | − | 0.0741356i | ||||
\(566\) | 15.5755i | 0.654686i | ||||||||
\(567\) | −3.06569 | + | 3.06569i | −0.128747 | + | 0.128747i | ||||
\(568\) | −8.71342 | + | 8.71342i | −0.365607 | + | 0.365607i | ||||
\(569\) | − | 12.1931i | − | 0.511162i | −0.966788 | − | 0.255581i | \(-0.917733\pi\) | ||
0.966788 | − | 0.255581i | \(-0.0822668\pi\) | |||||||
\(570\) | −26.4214 | + | 36.2614i | −1.10667 | + | 1.51882i | ||||
\(571\) | − | 19.6010i | − | 0.820275i | −0.912024 | − | 0.410138i | \(-0.865481\pi\) | ||
0.912024 | − | 0.410138i | \(-0.134519\pi\) | |||||||
\(572\) | −0.0755725 | − | 0.0755725i | −0.00315984 | − | 0.00315984i | ||||
\(573\) | −57.6580 | + | 57.6580i | −2.40870 | + | 2.40870i | ||||
\(574\) | − | 0.670567i | − | 0.0279889i | ||||||
\(575\) | −7.47426 | − | 3.83416i | −0.311698 | − | 0.159895i | ||||
\(576\) | −7.31224 | −0.304677 | ||||||||
\(577\) | −16.1659 | + | 16.1659i | −0.672995 | + | 0.672995i | −0.958405 | − | 0.285410i | \(-0.907870\pi\) |
0.285410 | + | 0.958405i | \(0.407870\pi\) | |||||||
\(578\) | −5.30393 | − | 5.30393i | −0.220614 | − | 0.220614i | ||||
\(579\) | 31.7066 | 1.31768 | ||||||||
\(580\) | 0.110519 | + | 0.0805285i | 0.00458906 | + | 0.00334376i | ||||
\(581\) | − | 1.98308i | − | 0.0822720i | ||||||
\(582\) | 32.6387 | + | 32.6387i | 1.35292 | + | 1.35292i | ||||
\(583\) | 2.99079 | − | 2.99079i | 0.123866 | − | 0.123866i | ||||
\(584\) | 11.7100i | 0.484564i | ||||||||
\(585\) | −5.20296 | + | 0.816762i | −0.215116 | + | 0.0337689i | ||||
\(586\) | 7.35602i | 0.303875i | ||||||||
\(587\) | −11.1142 | + | 11.1142i | −0.458732 | + | 0.458732i | −0.898239 | − | 0.439507i | \(-0.855153\pi\) |
0.439507 | + | 0.898239i | \(0.355153\pi\) | |||||||
\(588\) | 15.8109 | + | 15.8109i | 0.652030 | + | 0.652030i | ||||
\(589\) | −36.5149 | −1.50457 | ||||||||
\(590\) | −12.2917 | + | 1.92955i | −0.506039 | + | 0.0794382i | ||||
\(591\) | 59.6825i | 2.45501i | ||||||||
\(592\) | 6.41444 | − | 6.41444i | 0.263632 | − | 0.263632i | ||||
\(593\) | −20.7067 | − | 20.7067i | −0.850323 | − | 0.850323i | 0.139850 | − | 0.990173i | \(-0.455338\pi\) |
−0.990173 | + | 0.139850i | \(0.955338\pi\) | |||||||
\(594\) | − | 4.59470i | − | 0.188523i | ||||||
\(595\) | −0.780916 | + | 1.07175i | −0.0320144 | + | 0.0439374i | ||||
\(596\) | − | 5.64237i | − | 0.231120i | ||||||
\(597\) | 5.73730 | + | 5.73730i | 0.234812 | + | 0.234812i | ||||
\(598\) | 0.382659 | + | 0.382659i | 0.0156481 | + | 0.0156481i | ||||
\(599\) | − | 18.8682i | − | 0.770933i | −0.922722 | − | 0.385466i | \(-0.874041\pi\) | ||
0.922722 | − | 0.385466i | \(-0.125959\pi\) | |||||||
\(600\) | −15.2840 | + | 4.91982i | −0.623968 | + | 0.200851i | ||||
\(601\) | − | 33.2843i | − | 1.35770i | −0.734279 | − | 0.678848i | \(-0.762479\pi\) | ||
0.734279 | − | 0.678848i | \(-0.237521\pi\) | |||||||
\(602\) | −0.990950 | − | 0.781055i | −0.0403881 | − | 0.0318334i | ||||
\(603\) | 64.1039 | − | 64.1039i | 2.61051 | − | 2.61051i | ||||
\(604\) | −8.47754 | −0.344946 | ||||||||
\(605\) | −14.3399 | + | 19.6804i | −0.582999 | + | 0.800122i | ||||
\(606\) | 34.9484 | 1.41968 | ||||||||
\(607\) | −9.46045 | + | 9.46045i | −0.383988 | + | 0.383988i | −0.872537 | − | 0.488549i | \(-0.837526\pi\) |
0.488549 | + | 0.872537i | \(0.337526\pi\) | |||||||
\(608\) | 4.41818 | − | 4.41818i | 0.179181 | − | 0.179181i | ||||
\(609\) | −0.0377873 | −0.00153122 | ||||||||
\(610\) | 2.51714 | − | 0.395142i | 0.101916 | − | 0.0159988i | ||||
\(611\) | −2.64574 | −0.107035 | ||||||||
\(612\) | −15.9359 | − | 15.9359i | −0.644171 | − | 0.644171i | ||||
\(613\) | −0.754920 | + | 0.754920i | −0.0304909 | + | 0.0304909i | −0.722188 | − | 0.691697i | \(-0.756863\pi\) |
0.691697 | + | 0.722188i | \(0.256863\pi\) | |||||||
\(614\) | −28.3393 | −1.14368 | ||||||||
\(615\) | 24.7216 | − | 3.88080i | 0.996870 | − | 0.156489i | ||||
\(616\) | 0.0638438 | 0.00257234 | ||||||||
\(617\) | −13.7142 | − | 13.7142i | −0.552112 | − | 0.552112i | 0.374938 | − | 0.927050i | \(-0.377664\pi\) |
−0.927050 | + | 0.374938i | \(0.877664\pi\) | |||||||
\(618\) | −10.5457 | + | 10.5457i | −0.424212 | + | 0.424212i | ||||
\(619\) | 9.20775i | 0.370091i | 0.982730 | + | 0.185045i | \(0.0592432\pi\) | ||||
−0.982730 | + | 0.185045i | \(0.940757\pi\) | |||||||
\(620\) | −10.5614 | − | 7.69544i | −0.424156 | − | 0.309056i | ||||
\(621\) | 23.2651i | 0.933596i | ||||||||
\(622\) | 21.3808 | − | 21.3808i | 0.857290 | − | 0.857290i | ||||
\(623\) | −1.45244 | + | 1.45244i | −0.0581906 | + | 0.0581906i | ||||
\(624\) | 1.03437 | 0.0414081 | ||||||||
\(625\) | −20.3056 | + | 14.5836i | −0.812226 | + | 0.583343i | ||||
\(626\) | −7.45645 | −0.298020 | ||||||||
\(627\) | 4.70757 | + | 4.70757i | 0.188002 | + | 0.188002i | ||||
\(628\) | −1.60147 | − | 1.60147i | −0.0639056 | − | 0.0639056i | ||||
\(629\) | 27.9586 | 1.11478 | ||||||||
\(630\) | 1.85273 | − | 2.54274i | 0.0738147 | − | 0.101305i | ||||
\(631\) | 8.79639i | 0.350179i | 0.984553 | + | 0.175089i | \(0.0560215\pi\) | ||||
−0.984553 | + | 0.175089i | \(0.943979\pi\) | |||||||
\(632\) | −3.48716 | + | 3.48716i | −0.138712 | + | 0.138712i | ||||
\(633\) | 53.2435 | − | 53.2435i | 2.11624 | − | 2.11624i | ||||
\(634\) | 26.4429 | 1.05018 | ||||||||
\(635\) | 26.3267 | − | 4.13278i | 1.04474 | − | 0.164004i | ||||
\(636\) | 40.9355i | 1.62320i | ||||||||
\(637\) | −1.58592 | − | 1.58592i | −0.0628364 | − | 0.0628364i | ||||
\(638\) | 0.0143480 | − | 0.0143480i | 0.000568042 | − | 0.000568042i | ||||
\(639\) | 90.1061 | 3.56454 | ||||||||
\(640\) | 2.20902 | − | 0.346772i | 0.0873190 | − | 0.0137074i | ||||
\(641\) | − | 21.5612i | − | 0.851617i | −0.904813 | − | 0.425809i | \(-0.859990\pi\) | ||
0.904813 | − | 0.425809i | \(-0.140010\pi\) | |||||||
\(642\) | 34.3917 | + | 34.3917i | 1.35733 | + | 1.35733i | ||||
\(643\) | −23.0884 | + | 23.0884i | −0.910519 | + | 0.910519i | −0.996313 | − | 0.0857940i | \(-0.972657\pi\) |
0.0857940 | + | 0.996313i | \(0.472657\pi\) | |||||||
\(644\) | −0.323271 | −0.0127387 | ||||||||
\(645\) | 23.0599 | − | 41.0533i | 0.907984 | − | 1.61647i | ||||
\(646\) | 19.2575 | 0.757676 | ||||||||
\(647\) | −10.7376 | + | 10.7376i | −0.422140 | + | 0.422140i | −0.885940 | − | 0.463800i | \(-0.846486\pi\) |
0.463800 | + | 0.885940i | \(0.346486\pi\) | |||||||
\(648\) | 15.9326 | + | 15.9326i | 0.625892 | + | 0.625892i | ||||
\(649\) | 1.84624i | 0.0724714i | ||||||||
\(650\) | 1.53307 | − | 0.493485i | 0.0601320 | − | 0.0193561i | ||||
\(651\) | 3.61102 | 0.141527 | ||||||||
\(652\) | 10.7173 | − | 10.7173i | 0.419721 | − | 0.419721i | ||||
\(653\) | 18.4112 | + | 18.4112i | 0.720485 | + | 0.720485i | 0.968704 | − | 0.248219i | \(-0.0798453\pi\) |
−0.248219 | + | 0.968704i | \(0.579845\pi\) | |||||||
\(654\) | − | 38.3680i | − | 1.50031i | ||||||
\(655\) | 28.5869 | + | 20.8295i | 1.11698 | + | 0.813876i | ||||
\(656\) | −3.48498 | −0.136066 | ||||||||
\(657\) | 60.5470 | − | 60.5470i | 2.36216 | − | 2.36216i | ||||
\(658\) | 1.11756 | − | 1.11756i | 0.0435672 | − | 0.0435672i | ||||
\(659\) | − | 22.8070i | − | 0.888434i | −0.895919 | − | 0.444217i | \(-0.853482\pi\) | ||
0.895919 | − | 0.444217i | \(-0.146518\pi\) | |||||||
\(660\) | 0.369486 | + | 2.35371i | 0.0143822 | + | 0.0916180i | ||||
\(661\) | −32.3894 | −1.25980 | −0.629902 | − | 0.776675i | \(-0.716905\pi\) | ||||
−0.629902 | + | 0.776675i | \(0.716905\pi\) | |||||||
\(662\) | 4.42520 | + | 4.42520i | 0.171990 | + | 0.171990i | ||||
\(663\) | 2.25426 | + | 2.25426i | 0.0875482 | + | 0.0875482i | ||||
\(664\) | −10.3062 | −0.399958 | ||||||||
\(665\) | 0.416911 | + | 2.65582i | 0.0161671 | + | 0.102988i | ||||
\(666\) | −66.3322 | −2.57032 | ||||||||
\(667\) | −0.0726505 | + | 0.0726505i | −0.00281304 | + | 0.00281304i | ||||
\(668\) | 4.81188 | − | 4.81188i | 0.186177 | − | 0.186177i | ||||
\(669\) | − | 55.1502i | − | 2.13223i | ||||||
\(670\) | −16.3256 | + | 22.4057i | −0.630715 | + | 0.865608i | ||||
\(671\) | − | 0.378083i | − | 0.0145957i | ||||||
\(672\) | −0.436921 | + | 0.436921i | −0.0168546 | + | 0.0168546i | ||||
\(673\) | −0.956547 | − | 0.956547i | −0.0368722 | − | 0.0368722i | 0.688430 | − | 0.725302i | \(-0.258300\pi\) |
−0.725302 | + | 0.688430i | \(0.758300\pi\) | |||||||
\(674\) | −10.2101 | −0.393278 | ||||||||
\(675\) | 61.6058 | + | 31.6027i | 2.37121 | + | 1.21639i | ||||
\(676\) | 12.8962 | 0.496009 | ||||||||
\(677\) | 7.64071 | − | 7.64071i | 0.293656 | − | 0.293656i | −0.544867 | − | 0.838523i | \(-0.683420\pi\) |
0.838523 | + | 0.544867i | \(0.183420\pi\) | |||||||
\(678\) | 11.5390 | + | 11.5390i | 0.443153 | + | 0.443153i | ||||
\(679\) | 2.76575 | 0.106140 | ||||||||
\(680\) | 5.56995 | + | 4.05848i | 0.213598 | + | 0.155635i | ||||
\(681\) | −39.5598 | −1.51593 | ||||||||
\(682\) | −1.37112 | + | 1.37112i | −0.0525028 | + | 0.0525028i | ||||
\(683\) | 25.9192 | − | 25.9192i | 0.991771 | − | 0.991771i | −0.00819505 | − | 0.999966i | \(-0.502609\pi\) |
0.999966 | + | 0.00819505i | \(0.00260859\pi\) | |||||||
\(684\) | −45.6887 | −1.74695 | ||||||||
\(685\) | −3.26467 | − | 20.7967i | −0.124737 | − | 0.794600i | ||||
\(686\) | 2.68670 | 0.102579 | ||||||||
\(687\) | 22.5959 | − | 22.5959i | 0.862086 | − | 0.862086i | ||||
\(688\) | −4.05920 | + | 5.15004i | −0.154756 | + | 0.196343i | ||||
\(689\) | − | 4.10605i | − | 0.156428i | ||||||
\(690\) | −1.87088 | − | 11.9179i | −0.0712232 | − | 0.453708i | ||||
\(691\) | − | 19.7621i | − | 0.751785i | −0.926663 | − | 0.375892i | \(-0.877336\pi\) | ||
0.926663 | − | 0.375892i | \(-0.122664\pi\) | |||||||
\(692\) | 9.67496 | + | 9.67496i | 0.367787 | + | 0.367787i | ||||
\(693\) | −0.330107 | − | 0.330107i | −0.0125397 | − | 0.0125397i | ||||
\(694\) | − | 28.2937i | − | 1.07402i | ||||||
\(695\) | −30.9898 | − | 22.5803i | −1.17551 | − | 0.856521i | ||||
\(696\) | 0.196383i | 0.00744389i | ||||||||
\(697\) | −7.59499 | − | 7.59499i | −0.287681 | − | 0.287681i | ||||
\(698\) | 12.3492 | − | 12.3492i | 0.467424 | − | 0.467424i | ||||
\(699\) | 66.0041i | 2.49650i | ||||||||
\(700\) | −0.439123 | + | 0.856020i | −0.0165973 | + | 0.0323545i | ||||
\(701\) | −11.6408 | −0.439667 | −0.219833 | − | 0.975537i | \(-0.570551\pi\) | ||||
−0.219833 | + | 0.975537i | \(0.570551\pi\) | |||||||
\(702\) | −3.15403 | − | 3.15403i | −0.119041 | − | 0.119041i | ||||
\(703\) | 40.0790 | − | 40.0790i | 1.51161 | − | 1.51161i | ||||
\(704\) | − | 0.331801i | − | 0.0125052i | ||||||
\(705\) | 47.6686 | + | 34.7331i | 1.79530 | + | 1.30813i | ||||
\(706\) | − | 13.5495i | − | 0.509944i | ||||||
\(707\) | 1.48073 | − | 1.48073i | 0.0556887 | − | 0.0556887i | ||||
\(708\) | −12.6349 | − | 12.6349i | −0.474850 | − | 0.474850i | ||||
\(709\) | 40.3072i | 1.51377i | 0.653548 | + | 0.756885i | \(0.273280\pi\) | ||||
−0.653548 | + | 0.756885i | \(0.726720\pi\) | |||||||
\(710\) | −27.2209 | + | 4.27315i | −1.02158 | + | 0.160368i | ||||
\(711\) | 36.0610 | 1.35239 | ||||||||
\(712\) | 7.54841 | + | 7.54841i | 0.282889 | + | 0.282889i | ||||
\(713\) | 6.94261 | − | 6.94261i | 0.260003 | − | 0.260003i | ||||
\(714\) | −1.90441 | −0.0712706 | ||||||||
\(715\) | −0.0370615 | − | 0.236090i | −0.00138602 | − | 0.00882926i | ||||
\(716\) | 2.19297i | 0.0819551i | ||||||||
\(717\) | 14.4166 | − | 14.4166i | 0.538396 | − | 0.538396i | ||||
\(718\) | −7.42611 | − | 7.42611i | −0.277140 | − | 0.277140i | ||||
\(719\) | − | 12.5598i | − | 0.468403i | −0.972188 | − | 0.234202i | \(-0.924752\pi\) | ||
0.972188 | − | 0.234202i | \(-0.0752476\pi\) | |||||||
\(720\) | −13.2148 | − | 9.62879i | −0.492486 | − | 0.358844i | ||||
\(721\) | 0.893629i | 0.0332805i | ||||||||
\(722\) | 14.1708 | − | 14.1708i | 0.527383 | − | 0.527383i | ||||
\(723\) | −31.5759 | + | 31.5759i | −1.17432 | + | 1.17432i | ||||
\(724\) | − | 12.4610i | − | 0.463108i | ||||||
\(725\) | 0.0936917 | + | 0.291065i | 0.00347962 | + | 0.0108099i | ||||
\(726\) | −34.9704 | −1.29787 | ||||||||
\(727\) | 10.1508 | − | 10.1508i | 0.376473 | − | 0.376473i | −0.493355 | − | 0.869828i | \(-0.664230\pi\) |
0.869828 | + | 0.493355i | \(0.164230\pi\) | |||||||
\(728\) | 0.0438256 | − | 0.0438256i | 0.00162428 | − | 0.00162428i | ||||
\(729\) | − | 31.3537i | − | 1.16125i | ||||||
\(730\) | −15.4198 | + | 21.1625i | −0.570713 | + | 0.783260i | ||||
\(731\) | −20.0701 | + | 2.37731i | −0.742321 | + | 0.0879281i | ||||
\(732\) | 2.58744 | + | 2.58744i | 0.0956346 | + | 0.0956346i | ||||
\(733\) | −30.3984 | − | 30.3984i | −1.12279 | − | 1.12279i | −0.991320 | − | 0.131472i | \(-0.958030\pi\) |
−0.131472 | − | 0.991320i | \(-0.541970\pi\) | |||||||
\(734\) | −21.5252 | −0.794511 | ||||||||
\(735\) | 7.75382 | + | 49.3935i | 0.286004 | + | 1.82191i | ||||
\(736\) | 1.68006i | 0.0619279i | ||||||||
\(737\) | 2.90878 | + | 2.90878i | 0.107146 | + | 0.107146i | ||||
\(738\) | 18.0192 | + | 18.0192i | 0.663297 | + | 0.663297i | ||||
\(739\) | 35.1803 | 1.29413 | 0.647064 | − | 0.762435i | \(-0.275997\pi\) | ||||
0.647064 | + | 0.762435i | \(0.275997\pi\) | |||||||
\(740\) | 20.0389 | − | 3.14571i | 0.736643 | − | 0.115638i | ||||
\(741\) | 6.46302 | 0.237425 | ||||||||
\(742\) | 1.73440 | + | 1.73440i | 0.0636719 | + | 0.0636719i | ||||
\(743\) | 13.6504 | + | 13.6504i | 0.500785 | + | 0.500785i | 0.911682 | − | 0.410897i | \(-0.134784\pi\) |
−0.410897 | + | 0.911682i | \(0.634784\pi\) | |||||||
\(744\) | − | 18.7667i | − | 0.688022i | ||||||
\(745\) | 7.42990 | − | 10.1970i | 0.272210 | − | 0.373588i | ||||
\(746\) | −16.6591 | −0.609934 | ||||||||
\(747\) | 53.2886 | + | 53.2886i | 1.94973 | + | 1.94973i | ||||
\(748\) | 0.723110 | − | 0.723110i | 0.0264395 | − | 0.0264395i | ||||
\(749\) | 2.91430 | 0.106486 | ||||||||
\(750\) | −34.1000 | − | 11.2349i | −1.24515 | − | 0.410241i | ||||
\(751\) | − | 6.32446i | − | 0.230783i | −0.993320 | − | 0.115391i | \(-0.963188\pi\) | ||
0.993320 | − | 0.115391i | \(-0.0368122\pi\) | |||||||
\(752\) | −5.80806 | − | 5.80806i | −0.211798 | − | 0.211798i | ||||
\(753\) | −34.9824 | − | 34.9824i | −1.27483 | − | 1.27483i | ||||
\(754\) | − | 0.0196983i | − | 0.000717370i | ||||||
\(755\) | −15.3207 | − | 11.1633i | −0.557578 | − | 0.406273i | ||||
\(756\) | 2.66453 | 0.0969080 | ||||||||
\(757\) | −28.2087 | + | 28.2087i | −1.02526 | + | 1.02526i | −0.0255889 | + | 0.999673i | \(0.508146\pi\) |
−0.999673 | + | 0.0255889i | \(0.991854\pi\) | |||||||
\(758\) | −8.79513 | − | 8.79513i | −0.319454 | − | 0.319454i | ||||
\(759\) | −1.79011 | −0.0649769 | ||||||||
\(760\) | 13.8025 | − | 2.16672i | 0.500668 | − | 0.0785951i | ||||
\(761\) | 9.03946i | 0.327680i | 0.986487 | + | 0.163840i | \(0.0523881\pi\) | ||||
−0.986487 | + | 0.163840i | \(0.947612\pi\) | |||||||
\(762\) | 27.0620 | + | 27.0620i | 0.980352 | + | 0.980352i | ||||
\(763\) | −1.62562 | − | 1.62562i | −0.0588514 | − | 0.0588514i | ||||
\(764\) | 25.3921 | 0.918653 | ||||||||
\(765\) | −7.81513 | − | 49.7841i | −0.282557 | − | 1.79995i | ||||
\(766\) | 35.2911 | 1.27512 | ||||||||
\(767\) | 1.26735 | + | 1.26735i | 0.0457615 | + | 0.0457615i | ||||
\(768\) | 2.27071 | + | 2.27071i | 0.0819372 | + | 0.0819372i | ||||
\(769\) | 51.2626i | 1.84858i | 0.381695 | + | 0.924288i | \(0.375340\pi\) | ||||
−0.381695 | + | 0.924288i | \(0.624660\pi\) | |||||||
\(770\) | 0.115380 | + | 0.0840699i | 0.00415799 | + | 0.00302967i | ||||
\(771\) | 11.4816 | 0.413500 | ||||||||
\(772\) | −6.98166 | − | 6.98166i | −0.251275 | − | 0.251275i | ||||
\(773\) | 13.9764 | + | 13.9764i | 0.502698 | + | 0.502698i | 0.912275 | − | 0.409577i | \(-0.134324\pi\) |
−0.409577 | + | 0.912275i | \(0.634324\pi\) | |||||||
\(774\) | 47.6167 | − | 5.64021i | 1.71155 | − | 0.202733i | ||||
\(775\) | −8.95334 | − | 27.8146i | −0.321613 | − | 0.999131i | ||||
\(776\) | − | 14.3738i | − | 0.515989i | ||||||
\(777\) | −3.96348 | + | 3.96348i | −0.142189 | + | 0.142189i | ||||
\(778\) | −9.60297 | + | 9.60297i | −0.344283 | + | 0.344283i | ||||
\(779\) | −21.7750 | −0.780172 | ||||||||
\(780\) | 1.86934 | + | 1.36207i | 0.0669330 | + | 0.0487699i | ||||
\(781\) | 4.08866i | 0.146304i | ||||||||
\(782\) | −3.66144 | + | 3.66144i | −0.130933 | + | 0.130933i | ||||
\(783\) | 0.598815 | − | 0.598815i | 0.0213999 | − | 0.0213999i | ||||
\(784\) | − | 6.96298i | − | 0.248678i | ||||||
\(785\) | −0.785377 | − | 5.00303i | −0.0280313 | − | 0.178566i | ||||
\(786\) | 50.7965i | 1.81185i | ||||||||
\(787\) | 19.3461 | + | 19.3461i | 0.689613 | + | 0.689613i | 0.962146 | − | 0.272533i | \(-0.0878615\pi\) |
−0.272533 | + | 0.962146i | \(0.587861\pi\) | |||||||
\(788\) | 13.1418 | − | 13.1418i | 0.468158 | − | 0.468158i | ||||
\(789\) | 40.2413i | 1.43263i | ||||||||
\(790\) | −10.8940 | + | 1.71014i | −0.387590 | + | 0.0608440i | ||||
\(791\) | 0.977796 | 0.0347664 | ||||||||
\(792\) | −1.71559 | + | 1.71559i | −0.0609608 | + | 0.0609608i | ||||
\(793\) | −0.259535 | − | 0.259535i | −0.00921634 | − | 0.00921634i | ||||
\(794\) | 16.3278 | 0.579451 | ||||||||
\(795\) | −53.9041 | + | 73.9792i | −1.91178 | + | 2.62377i | ||||
\(796\) | − | 2.52666i | − | 0.0895549i | ||||||
\(797\) | −16.9921 | − | 16.9921i | −0.601890 | − | 0.601890i | 0.338924 | − | 0.940814i | \(-0.389937\pi\) |
−0.940814 | + | 0.338924i | \(0.889937\pi\) | |||||||
\(798\) | −2.72999 | + | 2.72999i | −0.0966405 | + | 0.0966405i | ||||
\(799\) | − | 25.3156i | − | 0.895601i | ||||||
\(800\) | 4.44880 | + | 2.28215i | 0.157289 | + | 0.0806862i | ||||
\(801\) | − | 78.0586i | − | 2.75807i | ||||||
\(802\) | −3.85827 | + | 3.85827i | −0.136240 | + | 0.136240i | ||||
\(803\) | 2.74739 | + | 2.74739i | 0.0969533 | + | 0.0969533i | ||||
\(804\) | −39.8130 | −1.40410 | ||||||||
\(805\) | −0.584220 | − | 0.425685i | −0.0205911 | − | 0.0150034i | ||||
\(806\) | 1.88241i | 0.0663049i | ||||||||
\(807\) | 7.65856 | − | 7.65856i | 0.269594 | − | 0.269594i | ||||
\(808\) | −7.69548 | − | 7.69548i | −0.270726 | − | 0.270726i | ||||
\(809\) | − | 36.0439i | − | 1.26724i | −0.773646 | − | 0.633618i | \(-0.781569\pi\) | ||
0.773646 | − | 0.633618i | \(-0.218431\pi\) | |||||||
\(810\) | 7.81351 | + | 49.7738i | 0.274539 | + | 1.74887i | ||||
\(811\) | − | 36.7536i | − | 1.29059i | −0.763933 | − | 0.645296i | \(-0.776734\pi\) | ||
0.763933 | − | 0.645296i | \(-0.223266\pi\) | |||||||
\(812\) | 0.00832060 | + | 0.00832060i | 0.000291996 | + | 0.000291996i | ||||
\(813\) | 32.6190 | + | 32.6190i | 1.14400 | + | 1.14400i | ||||
\(814\) | − | 3.00990i | − | 0.105497i | ||||||
\(815\) | 33.4810 | − | 5.25586i | 1.17279 | − | 0.184105i | ||||
\(816\) | 9.89733i | 0.346476i | ||||||||
\(817\) | −25.3629 | + | 32.1787i | −0.887335 | + | 1.12579i | ||||
\(818\) | 4.78580 | − | 4.78580i | 0.167332 | − | 0.167332i | ||||
\(819\) | −0.453203 | −0.0158362 | ||||||||
\(820\) | −6.29811 | − | 4.58904i | −0.219940 | − | 0.160256i | ||||
\(821\) | 47.4848 | 1.65723 | 0.828616 | − | 0.559817i | \(-0.189129\pi\) | ||||
0.828616 | + | 0.559817i | \(0.189129\pi\) | |||||||
\(822\) | 21.3775 | − | 21.3775i | 0.745626 | − | 0.745626i | ||||
\(823\) | −16.4411 | + | 16.4411i | −0.573102 | + | 0.573102i | −0.932994 | − | 0.359892i | \(-0.882814\pi\) |
0.359892 | + | 0.932994i | \(0.382814\pi\) | |||||||
\(824\) | 4.64425 | 0.161790 | ||||||||
\(825\) | −2.43164 | + | 4.74020i | −0.0846587 | + | 0.165033i | ||||
\(826\) | −1.07066 | −0.0372531 | ||||||||
\(827\) | −29.1396 | − | 29.1396i | −1.01328 | − | 1.01328i | −0.999911 | − | 0.0133723i | \(-0.995743\pi\) |
−0.0133723 | − | 0.999911i | \(-0.504257\pi\) | |||||||
\(828\) | 8.68682 | − | 8.68682i | 0.301888 | − | 0.301888i | ||||
\(829\) | −20.2192 | −0.702241 | −0.351120 | − | 0.936330i | \(-0.614199\pi\) | ||||
−0.351120 | + | 0.936330i | \(0.614199\pi\) | |||||||
\(830\) | −18.6255 | − | 13.5713i | −0.646501 | − | 0.471065i | ||||
\(831\) | −59.3637 | −2.05931 | ||||||||
\(832\) | −0.227765 | − | 0.227765i | −0.00789631 | − | 0.00789631i | ||||
\(833\) | 15.1747 | − | 15.1747i | 0.525774 | − | 0.525774i | ||||
\(834\) | − | 55.0662i | − | 1.90679i | ||||||
\(835\) | 15.0324 | − | 2.35979i | 0.520218 | − | 0.0816640i | ||||
\(836\) | − | 2.07317i | − | 0.0717022i | ||||||
\(837\) | −57.2238 | + | 57.2238i | −1.97794 | + | 1.97794i | ||||
\(838\) | −0.682392 | + | 0.682392i | −0.0235728 | + | 0.0235728i | ||||
\(839\) | −1.68959 | −0.0583313 | −0.0291656 | − | 0.999575i | \(-0.509285\pi\) | ||||
−0.0291656 | + | 0.999575i | \(0.509285\pi\) | |||||||
\(840\) | −1.36495 | + | 0.214270i | −0.0470952 | + | 0.00739303i | ||||
\(841\) | −28.9963 | −0.999871 | ||||||||
\(842\) | −23.8225 | − | 23.8225i | −0.820979 | − | 0.820979i | ||||
\(843\) | −46.7466 | − | 46.7466i | −1.61004 | − | 1.61004i | ||||
\(844\) | −23.4480 | −0.807113 | ||||||||
\(845\) | 23.3063 | + | 16.9818i | 0.801761 | + | 0.584193i | ||||
\(846\) | 60.0615i | 2.06496i | ||||||||
\(847\) | −1.48167 | + | 1.48167i | −0.0509107 | + | 0.0509107i | ||||
\(848\) | 9.01382 | − | 9.01382i | 0.309536 | − | 0.309536i | ||||
\(849\) | −50.0170 | −1.71658 | ||||||||
\(850\) | 4.72187 | + | 14.6691i | 0.161959 | + | 0.503145i | ||||
\(851\) | 15.2405i | 0.522438i | ||||||||
\(852\) | −27.9811 | − | 27.9811i | −0.958617 | − | 0.958617i | ||||
\(853\) | −34.4799 | + | 34.4799i | −1.18057 | + | 1.18057i | −0.200970 | + | 0.979597i | \(0.564410\pi\) |
−0.979597 | + | 0.200970i | \(0.935590\pi\) | |||||||
\(854\) | 0.219255 | 0.00750277 | ||||||||
\(855\) | −82.5692 | − | 60.1630i | −2.82381 | − | 2.05753i | ||||
\(856\) | − | 15.1458i | − | 0.517673i | ||||||
\(857\) | −6.41954 | − | 6.41954i | −0.219287 | − | 0.219287i | 0.588911 | − | 0.808198i | \(-0.299557\pi\) |
−0.808198 | + | 0.588911i | \(0.799557\pi\) | |||||||
\(858\) | 0.242683 | − | 0.242683i | 0.00828508 | − | 0.00828508i | ||||
\(859\) | 38.5050 | 1.31377 | 0.656886 | − | 0.753989i | \(-0.271873\pi\) | ||||
0.656886 | + | 0.753989i | \(0.271873\pi\) | |||||||
\(860\) | −14.1174 | + | 3.96205i | −0.481401 | + | 0.135105i | ||||
\(861\) | 2.15337 | 0.0733867 | ||||||||
\(862\) | 6.64924 | − | 6.64924i | 0.226474 | − | 0.226474i | ||||
\(863\) | −11.3527 | − | 11.3527i | −0.386451 | − | 0.386451i | 0.486968 | − | 0.873420i | \(-0.338103\pi\) |
−0.873420 | + | 0.486968i | \(0.838103\pi\) | |||||||
\(864\) | − | 13.8478i | − | 0.471110i | ||||||
\(865\) | 4.74469 | + | 30.2248i | 0.161324 | + | 1.02767i | ||||
\(866\) | −5.06252 | −0.172032 | ||||||||
\(867\) | 17.0323 | − | 17.0323i | 0.578448 | − | 0.578448i | ||||
\(868\) | −0.795131 | − | 0.795131i | −0.0269885 | − | 0.0269885i | ||||
\(869\) | 1.63631i | 0.0555079i | ||||||||
\(870\) | −0.258599 | + | 0.354907i | −0.00876731 | + | 0.0120325i | ||||
\(871\) | 3.99347 | 0.135313 | ||||||||
\(872\) | −8.44846 | + | 8.44846i | −0.286101 | + | 0.286101i | ||||
\(873\) | −74.3202 | + | 74.3202i | −2.51536 | + | 2.51536i | ||||
\(874\) | 10.4974i | 0.355081i | ||||||||
\(875\) | −1.92080 | + | 0.968773i | −0.0649349 | + | 0.0327505i | ||||
\(876\) | −37.6040 | −1.27052 | ||||||||
\(877\) | −33.0290 | − | 33.0290i | −1.11531 | − | 1.11531i | −0.992420 | − | 0.122891i | \(-0.960783\pi\) |
−0.122891 | − | 0.992420i | \(-0.539217\pi\) | |||||||
\(878\) | −1.14863 | − | 1.14863i | −0.0387643 | − | 0.0387643i | ||||
\(879\) | −23.6222 | −0.796756 | ||||||||
\(880\) | 0.436917 | − | 0.599636i | 0.0147285 | − | 0.0202137i | ||||
\(881\) | 43.9198 | 1.47970 | 0.739848 | − | 0.672774i | \(-0.234897\pi\) | ||||
0.739848 | + | 0.672774i | \(0.234897\pi\) | |||||||
\(882\) | −36.0023 | + | 36.0023i | −1.21226 | + | 1.21226i | ||||
\(883\) | 3.88203 | − | 3.88203i | 0.130641 | − | 0.130641i | −0.638763 | − | 0.769404i | \(-0.720554\pi\) |
0.769404 | + | 0.638763i | \(0.220554\pi\) | |||||||
\(884\) | − | 0.992756i | − | 0.0333900i | ||||||
\(885\) | −6.19629 | − | 39.4718i | −0.208286 | − | 1.32683i | ||||
\(886\) | 14.5908i | 0.490188i | ||||||||
\(887\) | −5.51928 | + | 5.51928i | −0.185319 | + | 0.185319i | −0.793669 | − | 0.608350i | \(-0.791832\pi\) |
0.608350 | + | 0.793669i | \(0.291832\pi\) | |||||||
\(888\) | 20.5985 | + | 20.5985i | 0.691240 | + | 0.691240i | ||||
\(889\) | 2.29319 | 0.0769110 | ||||||||
\(890\) | 3.70181 | + | 23.5814i | 0.124085 | + | 0.790450i | ||||
\(891\) | 7.47618 | 0.250461 | ||||||||
\(892\) | −12.1438 | + | 12.1438i | −0.406605 | + | 0.406605i | ||||
\(893\) | −36.2902 | − | 36.2902i | −1.21440 | − | 1.21440i | ||||
\(894\) | 18.1192 | 0.605995 | ||||||||
\(895\) | −2.88771 | + | 3.96317i | −0.0965256 | + | 0.132474i | ||||
\(896\) | 0.192416 | 0.00642817 | ||||||||
\(897\) | −1.22882 | + | 1.22882i | −0.0410291 | + | 0.0410291i | ||||
\(898\) | −0.0590474 | + | 0.0590474i | −0.00197044 | + | 0.00197044i | ||||
\(899\) | −0.357388 | −0.0119196 | ||||||||
\(900\) | −11.2027 | − | 34.8026i | −0.373424 | − | 1.16009i | ||||
\(901\) | 39.2885 | 1.30889 | ||||||||
\(902\) | −0.817643 | + | 0.817643i | −0.0272245 | + | 0.0272245i | ||||
\(903\) | 2.50818 | − | 3.18221i | 0.0834669 | − | 0.105897i | ||||
\(904\) | − | 5.08168i | − | 0.169014i | ||||||
\(905\) | 16.4087 | − | 22.5197i | 0.545443 | − | 0.748579i | ||||
\(906\) | − | 27.2236i | − | 0.904445i | ||||||
\(907\) | −21.3973 | − | 21.3973i | −0.710485 | − | 0.710485i | 0.256152 | − | 0.966637i | \(-0.417545\pi\) |
−0.966637 | + | 0.256152i | \(0.917545\pi\) | |||||||
\(908\) | 8.71088 | + | 8.71088i | 0.289081 | + | 0.289081i | ||||
\(909\) | 79.5795i | 2.63948i | ||||||||
\(910\) | 0.136912 | − | 0.0214925i | 0.00453858 | − | 0.000712469i | ||||
\(911\) | 15.5925i | 0.516604i | 0.966064 | + | 0.258302i | \(0.0831629\pi\) | ||||
−0.966064 | + | 0.258302i | \(0.916837\pi\) | |||||||
\(912\) | 14.1879 | + | 14.1879i | 0.469810 | + | 0.469810i | ||||
\(913\) | −2.41803 | + | 2.41803i | −0.0800251 | + | 0.0800251i | ||||
\(914\) | 18.8231i | 0.622614i | ||||||||
\(915\) | 1.26891 | + | 8.08322i | 0.0419488 | + | 0.267223i | ||||
\(916\) | −9.95102 | −0.328791 | ||||||||
\(917\) | 2.15220 | + | 2.15220i | 0.0710721 | + | 0.0710721i | ||||
\(918\) | 30.1791 | − | 30.1791i | 0.996058 | − | 0.996058i | ||||
\(919\) | 28.4754i | 0.939318i | 0.882848 | + | 0.469659i | \(0.155623\pi\) | ||||
−0.882848 | + | 0.469659i | \(0.844377\pi\) | |||||||
\(920\) | −2.21232 | + | 3.03623i | −0.0729379 | + | 0.100102i | ||||
\(921\) | − | 91.0051i | − | 2.99872i | ||||||
\(922\) | −27.0742 | + | 27.0742i | −0.891643 | + | 0.891643i | ||||
\(923\) | 2.80666 | + | 2.80666i | 0.0923823 | + | 0.0923823i | ||||
\(924\) | 0.205020i | 0.00674465i | ||||||||
\(925\) | 40.3568 | + | 20.7023i | 1.32692 | + | 0.680687i | ||||
\(926\) | −1.50964 | −0.0496100 | ||||||||
\(927\) | −24.0133 | − | 24.0133i | −0.788699 | − | 0.788699i | ||||
\(928\) | 0.0432427 | − | 0.0432427i | 0.00141951 | − | 0.00141951i | ||||
\(929\) | −12.3775 | −0.406094 | −0.203047 | − | 0.979169i | \(-0.565084\pi\) | ||||
−0.203047 | + | 0.979169i | \(0.565084\pi\) | |||||||
\(930\) | 24.7121 | − | 33.9155i | 0.810342 | − | 1.11213i | ||||
\(931\) | − | 43.5064i | − | 1.42586i | ||||||
\(932\) | 14.5338 | − | 14.5338i | 0.476071 | − | 0.476071i | ||||
\(933\) | 68.6593 | + | 68.6593i | 2.24781 | + | 2.24781i | ||||
\(934\) | 24.6824i | 0.807633i | ||||||||
\(935\) | 2.25901 | − | 0.354620i | 0.0738775 | − | 0.0115973i | ||||
\(936\) | 2.35533i | 0.0769863i | ||||||||
\(937\) | −36.2005 | + | 36.2005i | −1.18262 | + | 1.18262i | −0.203554 | + | 0.979064i | \(0.565249\pi\) |
−0.979064 | + | 0.203554i | \(0.934751\pi\) | |||||||
\(938\) | −1.68685 | + | 1.68685i | −0.0550775 | + | 0.0550775i | ||||
\(939\) | − | 23.9447i | − | 0.781404i | ||||||
\(940\) | −2.84833 | − | 18.1445i | −0.0929023 | − | 0.591808i | ||||
\(941\) | −6.17303 | −0.201235 | −0.100617 | − | 0.994925i | \(-0.532082\pi\) | ||||
−0.100617 | + | 0.994925i | \(0.532082\pi\) | |||||||
\(942\) | 5.14275 | − | 5.14275i | 0.167560 | − | 0.167560i | ||||
\(943\) | 4.14011 | − | 4.14011i | 0.134820 | − | 0.134820i | ||||
\(944\) | 5.56431i | 0.181103i | ||||||||
\(945\) | 4.81538 | + | 3.50867i | 0.156644 | + | 0.114137i | ||||
\(946\) | 0.255931 | + | 2.16066i | 0.00832103 | + | 0.0702491i | ||||
\(947\) | 7.41035 | + | 7.41035i | 0.240804 | + | 0.240804i | 0.817183 | − | 0.576379i | \(-0.195535\pi\) |
−0.576379 | + | 0.817183i | \(0.695535\pi\) | |||||||
\(948\) | −11.1982 | − | 11.1982i | −0.363701 | − | 0.363701i | ||||
\(949\) | 3.77189 | 0.122441 | ||||||||
\(950\) | 27.7972 | + | 14.2594i | 0.901859 | + | 0.462637i | ||||
\(951\) | 84.9151i | 2.75356i | ||||||||
\(952\) | 0.419342 | + | 0.419342i | 0.0135909 | + | 0.0135909i | ||||
\(953\) | 1.61402 | + | 1.61402i | 0.0522832 | + | 0.0522832i | 0.732765 | − | 0.680482i | \(-0.238229\pi\) |
−0.680482 | + | 0.732765i | \(0.738229\pi\) | |||||||
\(954\) | −93.2125 | −3.01787 | ||||||||
\(955\) | 45.8889 | + | 33.4364i | 1.48493 | + | 1.08198i | ||||
\(956\) | −6.34892 | −0.205339 | ||||||||
\(957\) | 0.0460752 | + | 0.0460752i | 0.00148940 | + | 0.00148940i | ||||
\(958\) | −17.7592 | − | 17.7592i | −0.573773 | − | 0.573773i | ||||
\(959\) | − | 1.81149i | − | 0.0584962i | ||||||
\(960\) | 1.11358 | + | 7.09374i | 0.0359406 | + | 0.228949i | ||||
\(961\) | 3.15263 | 0.101698 | ||||||||
\(962\) | −2.06614 | − | 2.06614i | −0.0666151 | − | 0.0666151i | ||||
\(963\) | −78.3119 | + | 78.3119i | −2.52357 | + | 2.52357i | ||||
\(964\) | 13.9058 | 0.447874 | ||||||||
\(965\) | −3.42387 | − | 21.8108i | −0.110218 | − | 0.702115i | ||||
\(966\) | − | 1.03811i | − | 0.0334006i | ||||||
\(967\) | −17.7911 | − | 17.7911i | −0.572124 | − | 0.572124i | 0.360598 | − | 0.932721i | \(-0.382573\pi\) |
−0.932721 | + | 0.360598i | \(0.882573\pi\) | |||||||
\(968\) | 7.70033 | + | 7.70033i | 0.247498 | + | 0.247498i | ||||
\(969\) | 61.8409i | 1.98662i | ||||||||
\(970\) | 18.9275 | − | 25.9765i | 0.607725 | − | 0.834057i | ||||
\(971\) | −32.8439 | −1.05401 | −0.527005 | − | 0.849862i | \(-0.676685\pi\) | ||||
−0.527005 | + | 0.849862i | \(0.676685\pi\) | |||||||
\(972\) | −21.7884 | + | 21.7884i | −0.698862 | + | 0.698862i | ||||
\(973\) | −2.33311 | − | 2.33311i | −0.0747961 | − | 0.0747961i | ||||
\(974\) | 27.1385 | 0.869574 | ||||||||
\(975\) | 1.58471 | + | 4.92310i | 0.0507514 | + | 0.157665i | ||||
\(976\) | − | 1.13949i | − | 0.0364741i | ||||||
\(977\) | 27.7136 | + | 27.7136i | 0.886636 | + | 0.886636i | 0.994198 | − | 0.107563i | \(-0.0343046\pi\) |
−0.107563 | + | 0.994198i | \(0.534305\pi\) | |||||||
\(978\) | 34.4160 | + | 34.4160i | 1.10050 | + | 1.10050i | ||||
\(979\) | 3.54200 | 0.113203 | ||||||||
\(980\) | 9.16888 | − | 12.5836i | 0.292889 | − | 0.401968i | ||||
\(981\) | 87.3661 | 2.78938 | ||||||||
\(982\) | −4.36399 | − | 4.36399i | −0.139260 | − | 0.139260i | ||||
\(983\) | −0.474888 | − | 0.474888i | −0.0151466 | − | 0.0151466i | 0.699493 | − | 0.714640i | \(-0.253409\pi\) |
−0.714640 | + | 0.699493i | \(0.753409\pi\) | |||||||
\(984\) | − | 11.1912i | − | 0.356763i | ||||||
\(985\) | 41.0553 | − | 6.44488i | 1.30813 | − | 0.205351i | ||||
\(986\) | 0.188482 | 0.00600249 | ||||||||
\(987\) | 3.58880 | + | 3.58880i | 0.114233 | + | 0.114233i | ||||
\(988\) | −1.42313 | − | 1.42313i | −0.0452757 | − | 0.0452757i | ||||
\(989\) | −1.29590 | − | 10.9404i | −0.0412071 | − | 0.347885i | ||||
\(990\) | −5.35953 | + | 0.841341i | −0.170337 | + | 0.0267396i | ||||
\(991\) | − | 10.3686i | − | 0.329370i | −0.986346 | − | 0.164685i | \(-0.947339\pi\) | ||
0.986346 | − | 0.164685i | \(-0.0526608\pi\) | |||||||
\(992\) | −4.13235 | + | 4.13235i | −0.131202 | + | 0.131202i | ||||
\(993\) | −14.2105 | + | 14.2105i | −0.450957 | + | 0.450957i | ||||
\(994\) | −2.37107 | −0.0752059 | ||||||||
\(995\) | 3.32711 | − | 4.56621i | 0.105477 | − | 0.144759i | ||||
\(996\) | − | 33.0960i | − | 1.04869i | ||||||
\(997\) | −37.6261 | + | 37.6261i | −1.19163 | + | 1.19163i | −0.215022 | + | 0.976609i | \(0.568982\pi\) |
−0.976609 | + | 0.215022i | \(0.931018\pi\) | |||||||
\(998\) | −15.8921 | + | 15.8921i | −0.503056 | + | 0.503056i | ||||
\(999\) | − | 125.618i | − | 3.97439i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 430.2.g.b.257.20 | yes | 40 | |
5.3 | odd | 4 | inner | 430.2.g.b.343.1 | yes | 40 | |
43.42 | odd | 2 | inner | 430.2.g.b.257.1 | ✓ | 40 | |
215.128 | even | 4 | inner | 430.2.g.b.343.20 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.g.b.257.1 | ✓ | 40 | 43.42 | odd | 2 | inner | |
430.2.g.b.257.20 | yes | 40 | 1.1 | even | 1 | trivial | |
430.2.g.b.343.1 | yes | 40 | 5.3 | odd | 4 | inner | |
430.2.g.b.343.20 | yes | 40 | 215.128 | even | 4 | inner |